Mathematics › Functions
Functions Questions
653 questions across 11 subtopics — with step-by-step solutions.
Composite(52)
- Let f: \mathbb{R} \to \mathbb{R} be define... | Mathematics | TestHub
- Let f(x) = \begin{cases} x+2 & \text{if }... | Mathematics | TestHub
- Let and . Then the number of onto function... | Mathematics | TestHub
- If , then fof is given as | Mathematics | TestHub
- Let then fof provided that: | Mathematics | TestHub
- LetandIfthenis equal to: | Mathematics | TestHub
- Forletandbe three given functions. If a fu... | Mathematics | TestHub
- Forletand. Ifthenis equal to: | Mathematics | TestHub
- Let. For anydefine. If, then which one of... | Mathematics | TestHub
- Ifthenis equal to | Mathematics | TestHub
- LetandIfis a positive real number such tha... | Mathematics | TestHub
- For a suitably chosen real constant, let a... | Mathematics | TestHub
- Ifandthenis equal to | Mathematics | TestHub
- Let denote the greatest integer . If and t... | Mathematics | TestHub
- Letbe defined by. Then the value offor whi... | Mathematics | TestHub
- Letbe a function defined by. If the functi... | Mathematics | TestHub
- Letandbe two real polynomials of degreeand... | Mathematics | TestHub
- Letandbe three positive real numbers. Leta... | Mathematics | TestHub
- Let. Iffor all, thenis equal to | Mathematics | TestHub
- Let. DefineasLetbe a function such that, t... | Mathematics | TestHub
- If and then is equal to | Mathematics | TestHub
- If , then (fof of) is | Mathematics | TestHub
- If, then the least value ofis | Mathematics | TestHub
- Let . For , define . If , then is equal to... | Mathematics | TestHub
- Fortwo real valued functionsandare such th... | Mathematics | TestHub
- Letbe a function definedandthen | Mathematics | TestHub
- If and , where , then is equal to | Mathematics | TestHub
- Consider the function defined by . If the... | Mathematics | TestHub
- Let , and be a function such that for all... | Mathematics | TestHub
- Let be defined as : Then the function is | Mathematics | TestHub
- If, then range ofis | Mathematics | TestHub
- If are defined by , then is equal to | Mathematics | TestHub
- Let denote the greatest integer . If and ,... | Mathematics | TestHub
- Let denote the set of all real numbers. Le... | Mathematics | TestHub
- Let and . Then the domain of is | Mathematics | TestHub
- If f(x)=\left(1-x^{n}\right)^{1 / n}, 0<x<... | Mathematics | TestHub
- Let f:[0,1] \rightarrow[0,1] defined by f(... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- f(x)=x^{5}+x^{2}+1 has roots x_{1}, x_{2},... | Mathematics | TestHub
- If f(x)=2 x+|x|, g(x)=\frac{1}{3}(2 x-|x|)... | Mathematics | TestHub
- \mathrm{f}(\mathrm{x})=|\mathrm{x}-1|, \ma... | Mathematics | TestHub
- f(x)=x^{2}+\lambda x+\mu \cos x, \lambda \... | Mathematics | TestHub
- If f(x)=x^{2}+x+\frac{3}{4} and g(x)=x^{2}... | Mathematics | TestHub
- The function is defined on as follows: The... | Mathematics | TestHub
- If which of the following are true? | Mathematics | TestHub
- Let and for all x. for all for all Which o... | Mathematics | TestHub
- Let f:[0,1] \rightarrow[0,1] defined by f(... | Mathematics | TestHub
- f(x)=x^{2}+\lambda x+\mu \cos x, \lambda \... | Mathematics | TestHub
- If f(x)=x-\frac{1}{x} then number of solut... | Mathematics | TestHub
- If the function and , then the number of r... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=\tan \mathrm{x}... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x})=\log _{100 \math... | Mathematics | TestHub
Domain-Range(183)
- The domain of the function f(x) = \sqrt{\l... | Mathematics | TestHub
- Let f(x) = \sin^{-1}\left(\frac{x^2+1}{2x}... | Mathematics | TestHub
- Match the functions given in List-I with t... | Mathematics | TestHub
- The domain of the function f(x) = \sqrt{\l... | Mathematics | TestHub
- The domain of the function f(x) = \sqrt{\f... | Mathematics | TestHub
- The domain of is | Mathematics | TestHub
- Domain of definition of the function , is | Mathematics | TestHub
- The range of the function is | Mathematics | TestHub
- The domain of the function is | Mathematics | TestHub
- The largest interval lying in for which th... | Mathematics | TestHub
- If , then | Mathematics | TestHub
- The range of the function where , is | Mathematics | TestHub
- If and , where , then | Mathematics | TestHub
- Match the statements given in Column I wit... | Mathematics | TestHub
- The domain of the function is | Mathematics | TestHub
- Let and . Statement 1: for . Statement 2:... | Mathematics | TestHub
- Statement 1: If and be two sets having and... | Mathematics | TestHub
- The range of the function , is | Mathematics | TestHub
- The domain of the function is | Mathematics | TestHub
- Let, for alland, for all. Letdenoteanddeno... | Mathematics | TestHub
- The domain of the function | Mathematics | TestHub
- Let { and } and { is a real number}(Here t... | Mathematics | TestHub
- Let be defined by Then the range of is | Mathematics | TestHub
- The domain of the definition of the functi... | Mathematics | TestHub
- The domain of the functionis, thenis equal to | Mathematics | TestHub
- The minimum value ofis : | Mathematics | TestHub
- Let, be a function defined bywhere, denote... | Mathematics | TestHub
- The domain of the function is | Mathematics | TestHub
- Let the domain of the functionbe. Then the... | Mathematics | TestHub
- If the functions are defined asandthen wha... | Mathematics | TestHub
- Letand. If, then the domain of the functionis | Mathematics | TestHub
- Letdenote the greatest integer, where. If... | Mathematics | TestHub
- If the domain of the functionis the interv... | Mathematics | TestHub
- The domain of the function,is: | Mathematics | TestHub
- The real valued function where denotes the... | Mathematics | TestHub
- The domain of the function is given by | Mathematics | TestHub
- The range of the functionis : | Mathematics | TestHub
- The domain of the functionis : | Mathematics | TestHub
- The domain ofis | Mathematics | TestHub
- The domain of the functionis | Mathematics | TestHub
- Considering only the principal values of t... | Mathematics | TestHub
- The domain of the functionis | Mathematics | TestHub
- The domain of the function, whereis the gr... | Mathematics | TestHub
- The sum of the maximum and minimum values... | Mathematics | TestHub
- Letbe real valued function defined as. The... | Mathematics | TestHub
- The domain of the function is | Mathematics | TestHub
- If the domain of the functionis, thenis eq... | Mathematics | TestHub
- If the domain of the functionis, thenis eq... | Mathematics | TestHub
- The range of the functionis | Mathematics | TestHub
- The domain of the functionis (wheredenotes... | Mathematics | TestHub
- Let the sets and denote the domain and ran... | Mathematics | TestHub
- The range ofis | Mathematics | TestHub
- If domain of the functionis, thenis equal to | Mathematics | TestHub
- Letbe a function defined by, for some, suc... | Mathematics | TestHub
- If the domain of the function, whereis gre... | Mathematics | TestHub
- Let be the domain of the function . If the... | Mathematics | TestHub
- The domain ofis | Mathematics | TestHub
- If the range of is , then the sum of the i... | Mathematics | TestHub
- If the domain of the functionis, then the... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- If the domain of the functionis, thenis eq... | Mathematics | TestHub
- Let the sum of the maximum and the minimum... | Mathematics | TestHub
- The domain of the real valued function is | Mathematics | TestHub
- If the domain of the functionisthenis equa... | Mathematics | TestHub
- Letandbe defined asand. Then the domain of... | Mathematics | TestHub
- Let the range of the function be . If and... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- Let be a function defined on . Then the ra... | Mathematics | TestHub
- If the domain of the function is and the d... | Mathematics | TestHub
- Let the range of the function be . Then th... | Mathematics | TestHub
- Let denote the greatest integer less than... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- Let the domain of the function be and the... | Mathematics | TestHub
- Let the domains of the functions and be an... | Mathematics | TestHub
- If the domain of the functionthen is equal to | Mathematics | TestHub
- If the range of the function , , is , then... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- Let be defined as and . If the range of th... | Mathematics | TestHub
- If f(x)=x^{2}+x+\frac{3}{4} and g(x)=x^{2}... | Mathematics | TestHub
- Range of \mathrm{f}(\mathrm{x})=\frac{\tan... | Mathematics | TestHub
- Let \mathrm{A}_{1}, \mathrm{~A}_{2}, \math... | Mathematics | TestHub
- The domain of the function f(x)=\log _{e}\... | Mathematics | TestHub
- The range of f(x)=\frac{3}{5+4 \sin 3 x} is | Mathematics | TestHub
- The range of f(x)=-x^{3}+x^{2}-x+\cos ^{-1... | Mathematics | TestHub
- The greatest value of \mathrm{f}(\mathrm{x... | Mathematics | TestHub
- The range of function \mathrm{f}(\mathrm{x... | Mathematics | TestHub
- The range of the function f(x)=\sqrt{e^{\c... | Mathematics | TestHub
- The domain of the function , where denotes... | Mathematics | TestHub
- Domain of the function \mathrm{f}(\mathrm{... | Mathematics | TestHub
- The domain of the function where = G.I.F. | Mathematics | TestHub
- f(x)=\frac{x^{2}-3 x+4}{x^{2}+3 x+4} then... | Mathematics | TestHub
- If f(x)=\frac{x-[x]}{1+x-[x]} x \in R (whe... | Mathematics | TestHub
- Range of \mathrm{f}(\mathrm{x})=\frac{\tan... | Mathematics | TestHub
- Find domain and range of the following: (i... | Mathematics | TestHub
- Range of the function \mathrm{f}(\mathrm{x... | Mathematics | TestHub
- The function is defined by: Then, find . | Mathematics | TestHub
- If , then the range of is | Mathematics | TestHub
- The domain of the function f(x)=\frac{1}{x... | Mathematics | TestHub
- If and are two functions defined on , such... | Mathematics | TestHub
- The range of the function f(x)=3 x^{4}-4 x... | Mathematics | TestHub
- If \frac{5^{\mathrm{m}}+3}{40}-\left[\frac... | Mathematics | TestHub
- The range of x^{2}+4 y^{2}+9 z^{2}-6 y z-3... | Mathematics | TestHub
- The domain of the function \mathrm{f}(\mat... | Mathematics | TestHub
- Minimum value of function f(x)=x^{3}\left(... | Mathematics | TestHub
- The range of the function Y=\left[x^{2}\ri... | Mathematics | TestHub
- Let \mathrm{h}(\mathrm{x})=|\mathrm{kx}+5|... | Mathematics | TestHub
- Let 'm' be the least value of the function... | Mathematics | TestHub
- Let f(x)=\ln \left(\frac{1-x}{1+x}\right)... | Mathematics | TestHub
- The range of \frac{x^{2}-x+1}{x^{2}+x+1} is | Mathematics | TestHub
- If g:[-1,1] \rightarrow \mathbf{R} is a fu... | Mathematics | TestHub
- The domain of the function f(x)=\sin ^{-1}... | Mathematics | TestHub
- If the function f(x)=\frac{x-1}{c-x^{2}+1}... | Mathematics | TestHub
- If [\mathrm{a}, \mathrm{b}] be the range o... | Mathematics | TestHub
- The domain of definition of the function,... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=[\mathrm{x}] \c... | Mathematics | TestHub
- The range of the function \mathrm{f}(\math... | Mathematics | TestHub
- If the function f(x)=\frac{x-1}{c-x^{2}+1}... | Mathematics | TestHub
- If f(x)=\sqrt{\cos (\sin x)}+\sqrt{\sin (\... | Mathematics | TestHub
- Domain of the function \mathrm{f}(\mathrm{... | Mathematics | TestHub
- The domain of f(x)=\sin \left(\log \left(\... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x})=\mathrm{x}^{2}+2... | Mathematics | TestHub
- If domain of \mathrm{f}(\mathrm{x})=\frac{... | Mathematics | TestHub
- The Range of the function | Mathematics | TestHub
- The range of the function defined as f(x)=... | Mathematics | TestHub
- Let f(x)=\left(\sin ^{-1} x\right)^{2}+\le... | Mathematics | TestHub
- Domain of the function \mathrm{f}(\mathrm{... | Mathematics | TestHub
- Match the function given in List-I with th... | Mathematics | TestHub
- The domain of the function where is the Gr... | Mathematics | TestHub
- If f(x)=\left[x^{2}\right]-[x]^{2} , [] de... | Mathematics | TestHub
- The range of the function f(x)={ }^{7-x} P... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=\frac{\mathrm{x... | Mathematics | TestHub
- If f(x)=\sin ^{-1} x+\cos ^{-1} x+\tan ^{-... | Mathematics | TestHub
- If \mathrm{y}=\sqrt{\log _{\sin \mathrm{x}... | Mathematics | TestHub
- If domain of \mathrm{f}(\mathrm{x})=\frac{... | Mathematics | TestHub
- If \alpha is an integer satisfying |\alpha... | Mathematics | TestHub
- The range of the function \mathrm{f}(\math... | Mathematics | TestHub
- Range of the function \mathrm{f}(\mathrm{x... | Mathematics | TestHub
- The domain of the function | Mathematics | TestHub
- Let R be set of real numbers, the function... | Mathematics | TestHub
- The domain of the function \mathrm{f}(\mat... | Mathematics | TestHub
- The domain of the function f(x)=\sqrt{10-\... | Mathematics | TestHub
- The image of the interval [-1, 3] under th... | Mathematics | TestHub
- The range of the function \mathrm{f}(\math... | Mathematics | TestHub
- The range of the function f(x)=\cos ^{-1}... | Mathematics | TestHub
- If \alpha is an integer satisfying |\alpha... | Mathematics | TestHub
- The greatest value of \mathrm{f}(\mathrm{x... | Mathematics | TestHub
- The domain of f(x)=\frac{3}{4-x^{2}}+\log... | Mathematics | TestHub
- If \mathrm{e}^{\mathrm{x}}+\mathrm{e}^{\ma... | Mathematics | TestHub
- Consider the real-valued function satisfyi... | Mathematics | TestHub
- The domain of \sqrt{\sin (\cos x)} | Mathematics | TestHub
- If f: \mathbf{R} \rightarrow \mathbf{R} is... | Mathematics | TestHub
- Domain of function \mathrm{f}(\mathrm{x})=... | Mathematics | TestHub
- The range of \sin ^{-1} x-\cos ^{-1} x is | Mathematics | TestHub
- Domain of the function \mathrm{f}(\mathrm{... | Mathematics | TestHub
- The domain of \frac{\sqrt{2+x}+\sqrt{2-x}}... | Mathematics | TestHub
- The range of the function \frac{2+\mathrm{... | Mathematics | TestHub
- The domain of definition of the function,... | Mathematics | TestHub
- The range of the function f(x)=\frac{2+x}{... | Mathematics | TestHub
- The domain of f(x)=\sqrt{x-2-2 \sqrt{x-3}}... | Mathematics | TestHub
- The domain of the function of f(x)=\log _{... | Mathematics | TestHub
- The range of f(x)=-x^{3}+x^{2}-x+\cos ^{-1... | Mathematics | TestHub
- The greatest and least values of \left(\si... | Mathematics | TestHub
- The range of the function \mathrm{f}(\math... | Mathematics | TestHub
- if f(x) is a polynomial function such that... | Mathematics | TestHub
- The range of |x-2|+|x-5| is | Mathematics | TestHub
- If and are two functions defined on , such... | Mathematics | TestHub
- The number of integers in the domain of re... | Mathematics | TestHub
- The Range of the function | Mathematics | TestHub
- The range of the function \mathrm{f}(\math... | Mathematics | TestHub
- If the range of f(x)=2+\sqrt[3]{x},-3 \leq... | Mathematics | TestHub
- Find domain and range of the following:(i)... | Mathematics | TestHub
- Range of \mathrm{f}(\mathrm{x})=\tan ^{-1}... | Mathematics | TestHub
- The domain of the function \sqrt{\log _{10... | Mathematics | TestHub
- If [x] denotes the integral part of x . fo... | Mathematics | TestHub
- The range of the function | Mathematics | TestHub
- Range of the function \mathrm{y}=\frac{2^{... | Mathematics | TestHub
- The domain of the function f(x)=\left[9^{x... | Mathematics | TestHub
- The domain of the function f(x)=\sqrt{[x]^... | Mathematics | TestHub
- If , then the range of is: | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x})=\ln \left(\frac{... | Mathematics | TestHub
- The number of functions from the set \math... | Mathematics | TestHub
- If , then (fof of is | Mathematics | TestHub
- If the function defined by is bijective, then | Mathematics | TestHub
Even-odd(22)
- The function , is | Mathematics | TestHub
- If is a function that is odd and even simu... | Mathematics | TestHub
- If is an even function and is an odd funct... | Mathematics | TestHub
- Let be an odd function defined on the set... | Mathematics | TestHub
- Letbe written aswhereis an even function a... | Mathematics | TestHub
- , where x is not an integral multiple of a... | Mathematics | TestHub
- Let the function be given by . Then, g is | Mathematics | TestHub
- If f:[-20,20] \rightarrow R defined by f(x... | Mathematics | TestHub
- If the function f satisfies the relation f... | Mathematics | TestHub
- If f:[-4,4]-\{-\pi, o, \pi\} \rightarrow R... | Mathematics | TestHub
- The function defined by | Mathematics | TestHub
- The function f(x)=\frac{2 x(\sin x+\tan x)... | Mathematics | TestHub
- The function (\mathrm{x})=\frac{\mathrm{x}... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let be defined on the interval . The odd e... | Mathematics | TestHub
- Let f(x)=5+\sum_{r=1}^{2010} a_{2 r-1} x^{... | Mathematics | TestHub
- f(x)=\frac{\cos x}{\left[\frac{2 x}{\pi}\r... | Mathematics | TestHub
- Let f(x)=5+\sum_{r=1}^{2010} a_{2 r-1} x^{... | Mathematics | TestHub
- A polynomial of degree satisfies . If has... | Mathematics | TestHub
- If the function f satisfies the relation f... | Mathematics | TestHub
- Let \left.\mathrm{G}(\mathrm{x})=\left(\fr... | Mathematics | TestHub
- If f:[-20,20] \rightarrow R defined by f(x... | Mathematics | TestHub
Functional Equation(111)
- Let f: \mathbb{R} \to \mathbb{R} be a func... | Mathematics | TestHub
- If a function f: \mathbb{R} \to \mathbb{R}... | Mathematics | TestHub
- Match the functional equations given in Li... | Mathematics | TestHub
- Let f: \mathbb{R}^+ \rightarrow \mathbb{R}... | Mathematics | TestHub
- Let f: \mathbb{R} \to \mathbb{R} be a func... | Mathematics | TestHub
- Let f: \mathbb{R} \to \mathbb{R} be a func... | Mathematics | TestHub
- Let f: \mathbb{R} \to \mathbb{R} be a diff... | Mathematics | TestHub
- Let f: \mathbb{R} \to \mathbb{R} be a func... | Mathematics | TestHub
- If and then is | Mathematics | TestHub
- If satisfies , for all and , then is | Mathematics | TestHub
- A real valued function satisfies the funct... | Mathematics | TestHub
- Let , where is a twice differentiable posi... | Mathematics | TestHub
- Let for all and let for all . Question:Con... | Mathematics | TestHub
- Ifand, then | Mathematics | TestHub
- ForletandThen the value ofis equal to : | Mathematics | TestHub
- Let. Ifis such thatand, thenis equal to: | Mathematics | TestHub
- If a functionsatisfy the equationand the f... | Mathematics | TestHub
- Letbe a differentiable function withand sa... | Mathematics | TestHub
- Letbe a function satisfyingfor all. Ifand,... | Mathematics | TestHub
- Letbe such thatfor allandIfsatisfies the d... | Mathematics | TestHub
- Ifand, whereis the set of all natural numb... | Mathematics | TestHub
- Suppose a differentiable functionsatisfies... | Mathematics | TestHub
- Letbe a function which satisfies. Ifandthe... | Mathematics | TestHub
- Suppose that a functionsatisfiesfor alland... | Mathematics | TestHub
- Letbe a polynomial of degreesuch thatforTh... | Mathematics | TestHub
- Letbe a function such thatfor everyIftheni... | Mathematics | TestHub
- Letbe defined asThen the value ofis equal... | Mathematics | TestHub
- A function is given by , then the sum of t... | Mathematics | TestHub
- Ifandthen the value of the expressionis __... | Mathematics | TestHub
- Let. Ifand, for all, then the value ofis e... | Mathematics | TestHub
- Letbe a function such thatfor natural numb... | Mathematics | TestHub
- Letbe a function defined. Thenis equal to... | Mathematics | TestHub
- Letbe a continuous function such that. If,... | Mathematics | TestHub
- Letbe such thatand. If, thenis equal to | Mathematics | TestHub
- The number of functionssatisfyingis | Mathematics | TestHub
- For the differentiable functionletthenis e... | Mathematics | TestHub
- Letbe a function such thatfor all, Ifand,... | Mathematics | TestHub
- Letbe a differentiable function that satis... | Mathematics | TestHub
- LetThenis equal to | Mathematics | TestHub
- If,, thenis equal to | Mathematics | TestHub
- Supposebe a differentiable function such t... | Mathematics | TestHub
- If,, then | Mathematics | TestHub
- Letbe a function such that. Thenis equal to : | Mathematics | TestHub
- Consider a function , satisfying with . Th... | Mathematics | TestHub
- Let be a function such that for all , and... | Mathematics | TestHub
- If a function satisfies for all and , then... | Mathematics | TestHub
- Let be a polynomial of degree 2, satisfyin... | Mathematics | TestHub
- Let be a function such that . Then is equa... | Mathematics | TestHub
- Let be a continuous function satisfying an... | Mathematics | TestHub
- Let . Then the value of is equal to | Mathematics | TestHub
- Let and . If , and , then the value of is: | Mathematics | TestHub
- If f is a polynomial function satisfying 2... | Mathematics | TestHub
- f is a function such that f(x)+2 f(1-x)=x^... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x}+\mathrm{y}+1)=(\... | Mathematics | TestHub
- If \mathrm{f}\left(\frac{\mathrm{x}^{2}+\m... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}) . \mathrm{f}(\ma... | Mathematics | TestHub
- If e^{f(x)}=\frac{10+x}{10-x}, x \in(-10,1... | Mathematics | TestHub
- If \mathrm{f}\left(\mathrm{x}+\frac{\mathr... | Mathematics | TestHub
- If f: \mathbf{R} \rightarrow \mathbf{R} sa... | Mathematics | TestHub
- Let f be a function such that f(x+f(y))=f(... | Mathematics | TestHub
- Equation of the locus of points equidistan... | Mathematics | TestHub
- If for nonzero \mathrm{x}, 2 f\left(x^{2}\... | Mathematics | TestHub
- f(x+1)=(-1)^{x+1} x-1 f(x) for x \in \math... | Mathematics | TestHub
- A function f satisfies the equation 3 f(x)... | Mathematics | TestHub
- f is a function such that f(x)+2 f(1-x)=x^... | Mathematics | TestHub
- Let f be a function from the set of positi... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}+2)-5(\mathrm{x}+1... | Mathematics | TestHub
- Let f\left(x+\frac{1}{y}\right)+f\left(x-\... | Mathematics | TestHub
- Let be a function defined on the set of no... | Mathematics | TestHub
- Determine a function f satisfying the func... | Mathematics | TestHub
- If f(x) is a polynomial function satisfyin... | Mathematics | TestHub
- Let f be a function from the set of positi... | Mathematics | TestHub
- If f(x)=\frac{9^{x}}{9^{x}+3} for all x \i... | Mathematics | TestHub
- If is a polynomial function satisfying for... | Mathematics | TestHub
- If f(x)+2 f(1-x)=x^{2}+2 \forall x \in R t... | Mathematics | TestHub
- If f: R \rightarrow R is a function satisf... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}) \mathrm{f}\left(... | Mathematics | TestHub
- If \mathrm{g}(\mathrm{x}) is a polynomial... | Mathematics | TestHub
- Let f(x+y+1)=(\sqrt{f(x)}+\sqrt{f(x)})^{2}... | Mathematics | TestHub
- For non-negative integers , define a funct... | Mathematics | TestHub
- Let be a polynomial one-one function such... | Mathematics | TestHub
- If for all real values of u and v, 2 f(u)... | Mathematics | TestHub
- If is a polynomial function satisfying the... | Mathematics | TestHub
- Let for , and . Then the sum of the digits... | Mathematics | TestHub
- Find the natural number c for which \sum_{... | Mathematics | TestHub
- If for all real values of u and v, 2 f(u)... | Mathematics | TestHub
- A real valued function \mathrm{f}(\mathrm{... | Mathematics | TestHub
- Let W be the set of whole numbers and f: W... | Mathematics | TestHub
- A function \mathrm{f}: \mathrm{R} \rightar... | Mathematics | TestHub
- If \mathrm{f}\left(\frac{\mathrm{x}^{2}+\m... | Mathematics | TestHub
- If function f satisfies the relation \math... | Mathematics | TestHub
- If ' f ' is a polynomial function satisfyi... | Mathematics | TestHub
- Let f(x) be a real function not identicall... | Mathematics | TestHub
- If function f satisfies the relation \math... | Mathematics | TestHub
- Let f\left(\frac{x+y}{2}\right)=\frac{1}{2... | Mathematics | TestHub
- If f(x+y, x-y)=x y , then the arithmetic m... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}+2)-5(\mathrm{x}+1... | Mathematics | TestHub
- If 2 f(x)+3 . f\left(\frac{1}{x}\right)=x^... | Mathematics | TestHub
- Let f\left(x+\frac{1}{y}\right)+f\left(x-\... | Mathematics | TestHub
- Let be a real function not identically zer... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}) \cdot \mathrm{f}... | Mathematics | TestHub
- Letbe a differentiable function withand sa... | Mathematics | TestHub
- Find the natural number c for which \sum_{... | Mathematics | TestHub
- Determine a function f satisfying the func... | Mathematics | TestHub
- A function \mathrm{f}: \mathrm{R} \rightar... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}) \mathrm{f}\left(... | Mathematics | TestHub
- If f is real function satisfying the relat... | Mathematics | TestHub
- Let ' f ' is a differentiable function suc... | Mathematics | TestHub
- For non-negative integers , define a funct... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x})+\mathrm{f}(\math... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x})+\mathrm{f}(\math... | Mathematics | TestHub
General (Definition,type and special type)(67)
- Let the function be defined by . Then the... | Mathematics | TestHub
- Let and . Then which of the following stat... | Mathematics | TestHub
- For a differentiable function , suppose ,... | Mathematics | TestHub
- Consider the sets , , and . The total numb... | Mathematics | TestHub
- Let be a function such that . Then is equa... | Mathematics | TestHub
- Let be a function defined by , then the va... | Mathematics | TestHub
- Let the range of the function be . Then th... | Mathematics | TestHub
- Let be defined as and . If the range of th... | Mathematics | TestHub
- Let . Then the value of is equal to | Mathematics | TestHub
- Let be a function such that . If the , the... | Mathematics | TestHub
- Let and . Then the number of many-one func... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- If the domain of the functionthen is equal to | Mathematics | TestHub
- Number of functions , that assign 1 to exa... | Mathematics | TestHub
- Let and . If , and , then the value of is: | Mathematics | TestHub
- Let the domains of the functions and be an... | Mathematics | TestHub
- Let be a polynomial of degree 2, satisfyin... | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- Let denote the greatest integer less than... | Mathematics | TestHub
- Let be a function such that .If the , then... | Mathematics | TestHub
- If the domain of the function is and the d... | Mathematics | TestHub
- If the domain of the function is , then is... | Mathematics | TestHub
- Let be a continuous function satisfying an... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x})=\mathrm{x}^{2}+2... | Mathematics | TestHub
- Let f:[0, \sqrt{3}] \rightarrow\left[0, \f... | Mathematics | TestHub
- If f: N \rightarrow N is defined by f(n)=n... | Mathematics | TestHub
- If \log _{4}\left(\log _{3}\left(\log _{2}... | Mathematics | TestHub
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- If [x] is the greatest integral function,... | Mathematics | TestHub
- Let \mathrm{A}_{1}, \mathrm{~A}_{2}, \math... | Mathematics | TestHub
- Let S=\sum_{r=1}^{117} \frac{1}{2[\sqrt{r}... | Mathematics | TestHub
- If , where is the greatest integer functio... | Mathematics | TestHub
- If n is a natural and 1 \leq n \leq 100 ,... | Mathematics | TestHub
- Find the value of where is defined as: | Mathematics | TestHub
- Identify the WRONG statement(s) | Mathematics | TestHub
- If [\sin x]+\left[\frac{x}{2 \pi}\right]+\... | Mathematics | TestHub
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- If \alpha is a root of the equation \sin x... | Mathematics | TestHub
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- If g=\{(1,1),(2,3),(3,5),(4,7)\} is descri... | Mathematics | TestHub
- f(x)=a x^{2}-C^{\text {satisfy }}-4 \leq f... | Mathematics | TestHub
- If , and and , then which of the following... | Mathematics | TestHub
- If f(x+y, x-y)=x y , then the arithmetic m... | Mathematics | TestHub
- If f(x) is a polynomial of degree 4 with l... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}) is twice differe... | Mathematics | TestHub
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- Which of the following is a function ([.]... | Mathematics | TestHub
- If 0<\mathrm{x}<1000 and \left[\frac{\math... | Mathematics | TestHub
- If f(x)=\cos \left[\pi^{2}\right] x+\cos \... | Mathematics | TestHub
- f(x)=\sin [x]+[\sin x], 0<x<\frac{\pi}{2}... | Mathematics | TestHub
- If f(x)=\cos \left[\pi^{2}\right] x+\cos \... | Mathematics | TestHub
- The number of points (\mathrm{p}, \mathrm{... | Mathematics | TestHub
- If f(x)=2 \sin ^{2} \theta+4 \cos (x+\thet... | Mathematics | TestHub
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- If 0<x<1000 and \left[\frac{x}{2}\right]+\... | Mathematics | TestHub
- Let be a polynomial of degree 8 satisfying... | Mathematics | TestHub
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- If f(x)=\left(1-x^{n}\right)^{1 / n}, 0<x<... | Mathematics | TestHub
- Let f\left(\frac{x+y}{2}\right)=\frac{1}{2... | Mathematics | TestHub
- Let be a function defined by Then which of... | Mathematics | TestHub
Inverse(35)
- If f(x) = \frac{e^x - e^{-x}}{e^x + e^{-x}... | Mathematics | TestHub
- Let be a function defined as , where for s... | Mathematics | TestHub
- Let Statement-1: The set Statement-2 : is... | Mathematics | TestHub
- Let be defined by , where is a constant su... | Mathematics | TestHub
- If the domain of is | Mathematics | TestHub
- If , and is its inverse function, then equ... | Mathematics | TestHub
- Ifis the inverse of a functionandthenis eq... | Mathematics | TestHub
- Let B be a function defined as , where and... | Mathematics | TestHub
- The inverse of the function(where,) is | Mathematics | TestHub
- The inverse function ofis __________. | Mathematics | TestHub
- Letbe defined by. Letbe given as. Then, th... | Mathematics | TestHub
- The inverse ofis: | Mathematics | TestHub
- Consider the function in defined as , then... | Mathematics | TestHub
- For some, letand. If, thenis equal to _____ . | Mathematics | TestHub
- Which among the functions is inverse of it... | Mathematics | TestHub
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- Suppose \mathrm{f}(\mathrm{x})=(\mathrm{x}... | Mathematics | TestHub
- Suppose \mathrm{f}(\mathrm{x})=(\mathrm{x}... | Mathematics | TestHub
- Let f be a one one function with domain =\... | Mathematics | TestHub
- If f(x)=x^{101}-2 x^{11}+2 x+1 and ' g ' b... | Mathematics | TestHub
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- If f(x)=1+\alpha x, \alpha \neq 0 is the i... | Mathematics | TestHub
- Let \mathrm{y}=\mathrm{g}(\mathrm{x}) be t... | Mathematics | TestHub
- The inverse of \mathrm{f}(\mathrm{x})=\lef... | Mathematics | TestHub
- Let f:\left[\frac{-\pi}{3}, \frac{2 \pi}{3... | Mathematics | TestHub
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- If f(x)=x-x^{2}+x^{3}-x^{4}+\ldots \ldots... | Mathematics | TestHub
Miscellaneous/Mixed(27)
- Find the vertex of the parabola . | Mathematics | TestHub
- For the function where is equal to | Mathematics | TestHub
- Let for all where If and then is equal to- | Mathematics | TestHub
- Letsatisfy,. If, thenis equal to _____. | Mathematics | TestHub
- If , then the value of | Mathematics | TestHub
- Let be such that and . Then is equal to: | Mathematics | TestHub
- Let. Thenis equal to | Mathematics | TestHub
- If , then | Mathematics | TestHub
- Let be a twice differentiable function suc... | Mathematics | TestHub
- Let f: \mathrm{R} \rightarrow \mathrm{R} b... | Mathematics | TestHub
- f is a function such that f(x)+2 f(1-x)=x^... | Mathematics | TestHub
- Number of distinct real solutions of \sin... | Mathematics | TestHub
- Let 'f' is a differentiable function such... | Mathematics | TestHub
- The number of points (p, q) such that p, q... | Mathematics | TestHub
- Let f(x)=a_{1} \tan x+a_{2} \tan \left(\fr... | Mathematics | TestHub
- f(x)=x^{5}+x^{2}+1 has roots x_{1}, x_{2},... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let \mathrm{X}=\{1,2,3, \ldots 100\} and Y... | Mathematics | TestHub
- If f(x) is a polynomial function satisfyin... | Mathematics | TestHub
- If n is a natural and 1 \leq n \leq 100 ,... | Mathematics | TestHub
- If f is a polynomial function satisfying 2... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}) is twice differe... | Mathematics | TestHub
- Let \mathrm{X}=\{1,2,3, \ldots 100\} and Y... | Mathematics | TestHub
- If \log _{(2 x+3)}\left(6 x^{2}+23 x+21\ri... | Mathematics | TestHub
- Let f\left(x+\frac{1}{y}\right)+f\left(x-\... | Mathematics | TestHub
- A function satisfies the equation for all... | Mathematics | TestHub
- If x, y \in(0,30) such that \left[\frac{x}... | Mathematics | TestHub
Number of Solutions (graph)(37)
- Let f(x) = \max(\{x\}, 1-\{x\}) where \{x\... | Mathematics | TestHub
- The graph of the function is symmetrical a... | Mathematics | TestHub
- Paragraph:If a continuous defined on the r... | Mathematics | TestHub
- Paragraph:If a continuous defined on the r... | Mathematics | TestHub
- Paragraph:If a continuous defined on the r... | Mathematics | TestHub
- Match the statements/expressions given in... | Mathematics | TestHub
- Match List I with List II and select the c... | Mathematics | TestHub
- Number of solution of the equationare (whe... | Mathematics | TestHub
- The number of elements in the setis equal to | Mathematics | TestHub
- Letdenote the greatest integer less than o... | Mathematics | TestHub
- The equation, wheredenotes the greatest in... | Mathematics | TestHub
- Letwheredenotes greatest integer function.... | Mathematics | TestHub
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- Consider the function defined by . Conside... | Mathematics | TestHub
- If , where denotes the greatest integer le... | Mathematics | TestHub
- Number of real solution of is equal to | Mathematics | TestHub
- Let. Ifandare respectively the number of p... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let f(x)=[x] and g(x)=x+[x] . Then the num... | Mathematics | TestHub
- Number of real values of x , satisfying th... | Mathematics | TestHub
- If [\sin x]+\left[\frac{x}{2 \pi}\right]+\... | Mathematics | TestHub
- The number of solutions of the equation x^... | Mathematics | TestHub
- Consider \int_{0}^{x}\left(t^{2}-8 t+13\ri... | Mathematics | TestHub
- The number of solutions of \sin \{x\}=\cos... | Mathematics | TestHub
- Number of real values of x , satisfying th... | Mathematics | TestHub
- f(x)=\frac{1}{x-1}+\frac{1}{x-2}+\frac{1}{... | Mathematics | TestHub
- If [\sin x]+\left[\frac{x}{2 \pi}\right]+\... | Mathematics | TestHub
- Number of distinct real solutions of \sin... | Mathematics | TestHub
- If m, n (n > m) are positive integers, the... | Mathematics | TestHub
- Number of distinct real solutions of \sin... | Mathematics | TestHub
- Find the integral solutions to the equatio... | Mathematics | TestHub
- Find the integral solutions to the equatio... | Mathematics | TestHub
- Solve the following equation for x (where... | Mathematics | TestHub
- The number of solutions of the equation x^... | Mathematics | TestHub
- If is a natural number and , then the numb... | Mathematics | TestHub
- The number of solution of y=\frac{1}{3}[\s... | Mathematics | TestHub
- The sum of all positive integral values of... | Mathematics | TestHub
Periodic Functions(22)
- The fundamental period of the function f(x... | Mathematics | TestHub
- Let be a periodic function satisfying the... | Mathematics | TestHub
- Period of \mathrm{f}(\mathrm{x})=\operator... | Mathematics | TestHub
- Which of the following is non-periodic | Mathematics | TestHub
- Let f(x, y) be a periodic function satisfy... | Mathematics | TestHub
- A real valued function f satisfies f(10+x)... | Mathematics | TestHub
- Let \mathrm{f}: \mathrm{R} \rightarrow \ma... | Mathematics | TestHub
- If the function satisfies the equation for... | Mathematics | TestHub
- The period of the function f(x)=(-1)^{[x]}... | Mathematics | TestHub
- Let f(x, y) be a periodic function satisfy... | Mathematics | TestHub
- If the function \mathrm{f}(\mathrm{x}) sat... | Mathematics | TestHub
- If \mathrm{f}(2+\mathrm{x})=\mathrm{a}+\le... | Mathematics | TestHub
- Let f: R \rightarrow R-\{3\} be a function... | Mathematics | TestHub
- The period of the function f(x)=\sin 3 x \... | Mathematics | TestHub
- The period of the function \mathrm{f}(\mat... | Mathematics | TestHub
- The period of the function | Mathematics | TestHub
- Find the period of the following functions... | Mathematics | TestHub
- If f: R \rightarrow R is a function satisf... | Mathematics | TestHub
- Let be a function such that for all . If .... | Mathematics | TestHub
- Let f(x) be a function such that f(x-1)+f(... | Mathematics | TestHub
- Period of the function \mathrm{f}(\mathrm{... | Mathematics | TestHub
- Period of is | Mathematics | TestHub
Periodicity(10)
- Which one is not periodic | Mathematics | TestHub
- The value of , is | Mathematics | TestHub
- The function is a periodic function with a... | Mathematics | TestHub
- The period of is | Mathematics | TestHub
- ForLetdenotes the greatest integerthen the... | Mathematics | TestHub
- Ifbe the greatest integer less than or equ... | Mathematics | TestHub
- , then is invertible if | Mathematics | TestHub
- Let be a real-valued function with domain... | Mathematics | TestHub
- Find the period of the following functions... | Mathematics | TestHub
- If f is a real valued function satisfying... | Mathematics | TestHub
Types of Function (Mapping)(87)
- Let f: \mathbb{R} \to \mathbb{R} be a func... | Mathematics | TestHub
- Let f: \mathbb{R} \to \mathbb{R} be a func... | Mathematics | TestHub
- A function from the set of natural numbers... | Mathematics | TestHub
- If , defined by , is onto, then the interv... | Mathematics | TestHub
- Let , be a function defined by , then is b... | Mathematics | TestHub
- For real , let , then | Mathematics | TestHub
- Given below is a frequency distribution wi... | Mathematics | TestHub
- A black die and a white die are rolled. Fi... | Mathematics | TestHub
- Let and be non empty sets in and is a bije... | Mathematics | TestHub
- The function , defined by , is | Mathematics | TestHub
- If denotes the set of all subsets of a giv... | Mathematics | TestHub
- Let and be the relation defined by . The c... | Mathematics | TestHub
- Let be a function defined by where then | Mathematics | TestHub
- Letbe given byThen | Mathematics | TestHub
- letbe defined by List – I List – II(A) is(... | Mathematics | TestHub
- Letbe defined bythenis | Mathematics | TestHub
- Letandbe defined asfor all, thenis | Mathematics | TestHub
- The functiondefined asis: | Mathematics | TestHub
- The functiondefined by, whereis the set of... | Mathematics | TestHub
- Letbe a set with exactlyelements andbe a s... | Mathematics | TestHub
- The number of functions from onto such tha... | Mathematics | TestHub
- If the functiondefined byis surjective, th... | Mathematics | TestHub
- Let{is not a positive integer}Define a fun... | Mathematics | TestHub
- Letbe the set of natural numbers and two f... | Mathematics | TestHub
- Let a function be defined by Then is : | Mathematics | TestHub
- If the functionis defined by, then which o... | Mathematics | TestHub
- LetandThen the number of elements in the s... | Mathematics | TestHub
- Let and be defined asThen the number of po... | Mathematics | TestHub
- LetThen the number of possible functionssu... | Mathematics | TestHub
- Letbe defined asand. be defined as. Then t... | Mathematics | TestHub
- Letsuch thatandbe any arbitrary function.... | Mathematics | TestHub
- Letdenote the total number of one-one func... | Mathematics | TestHub
- Let be defined as, for all Then which of t... | Mathematics | TestHub
- Consider functionandsuch thatexists, then: | Mathematics | TestHub
- LetThen the number of bijective functionss... | Mathematics | TestHub
- Let. Then the number of elements in the se... | Mathematics | TestHub
- The number of one-one functionssuch thatis... | Mathematics | TestHub
- The number of functions, from the setto th... | Mathematics | TestHub
- Letbe functions defined by, whereis the ma... | Mathematics | TestHub
- The number of bijective functionifis | Mathematics | TestHub
- The total number of functions,such that, i... | Mathematics | TestHub
- Let a functionbe defined bythen,is | Mathematics | TestHub
- The probability that a randomly chosen one... | Mathematics | TestHub
- Letbe defined asandbe defined as. Then the... | Mathematics | TestHub
- Let. Then the number of oneone functions,... | Mathematics | TestHub
- Then the number of functionssatisfyingis e... | Mathematics | TestHub
- Then the number of functionssatisfying, su... | Mathematics | TestHub
- Let. Then the number of possible functions... | Mathematics | TestHub
- Letand. Then the number of functionssatisf... | Mathematics | TestHub
- Letand. Total number of onto functionssuch... | Mathematics | TestHub
- Let be a function defined by , and . Consi... | Mathematics | TestHub
- Letbe a function such that. Then | Mathematics | TestHub
- Let and . Then the number of one-one funct... | Mathematics | TestHub
- The function; defined bythe highest prime... | Mathematics | TestHub
- Letand letdenote the power set of. If the... | Mathematics | TestHub
- Let and be functions defined by and Let .... | Mathematics | TestHub
- The function defined by is | Mathematics | TestHub
- Let where and . Then the function is | Mathematics | TestHub
- Let and be defined as and . Then, is: | Mathematics | TestHub
- If a function defined by is a bijection, then | Mathematics | TestHub
- Let and . Then the total number of one-one... | Mathematics | TestHub
- Let be the greatest integer less than or e... | Mathematics | TestHub
- If the functiondefined byis one-one and on... | Mathematics | TestHub
- The function is | Mathematics | TestHub
- Consider the sets , , and . The total numb... | Mathematics | TestHub
- Let denote the set of all natural numbers,... | Mathematics | TestHub
- Let A be defined by and be defined by . If... | Mathematics | TestHub
- Let and . Then the number of many-one func... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let f:[0, \sqrt{3}] \rightarrow\left[0, \f... | Mathematics | TestHub
- A linear function that map the set \{-2,2\... | Mathematics | TestHub
- Let \mathrm{f}:\{\mathrm{x}, \mathrm{y}, \... | Mathematics | TestHub
- Given \mathrm{A}=\{\mathrm{x}, \mathrm{y},... | Mathematics | TestHub
- If f: N \rightarrow N is defined by f(n)=n... | Mathematics | TestHub
- The number of the functions f from the set... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=\mathrm{ax}^{3}... | Mathematics | TestHub
- The function f: R \rightarrow R defined by... | Mathematics | TestHub
- Let S be the set of all triangles and \mat... | Mathematics | TestHub
- Let f: R \rightarrow\left[0 . \frac{\pi}{2... | Mathematics | TestHub
- f: \mathbf{R} \rightarrow \mathbf{R}, f(x)... | Mathematics | TestHub
- A linear function that map the set \{-2,2\... | Mathematics | TestHub
- A function \mathrm{f}: \mathrm{R} \rightar... | Mathematics | TestHub
- f(x)=x^{2015}+\log \left(x+\sqrt{x^{2}+1}\... | Mathematics | TestHub
- Set A has 3 elements and set B has 4 eleme... | Mathematics | TestHub
- The number of functions f from the set \ma... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=\mathrm{ax}^{3}... | Mathematics | TestHub
- If f: R \rightarrow R and f(x)=\frac{x^{2}... | Mathematics | TestHub
Practice Functions on TestHub
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