Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsCompositeMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

Let $f (x) = {2 x + a b x^{2} + 3 : x \geq - 1 : x < - 1$ and $g (x) = {x + 4 - 3 x - 2 : 0 \leq x \leq 4 : - 2 < x < 0$ be functions.

If $a = 2$ and $b = 3$ then range of $g (f (x))$ is

Answer:

Solution:

If $a = 2$ , $b = 3$ , and $f (x) = {2 x + 2 3 x^{2} + 3; x \geq - 1; x < - 1$ , then the range of $f (x)$ is $[0, \infty]$ .

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Composite

⏱ 2mℹ️ Source: QB

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