Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsFunctional EquationMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

If $f : (0, \infty) \to (0, \infty)$ satisfies $f (x f (y)) = a^{2} x y$ for $a \in R$ , then

Number of solutions of $2 f (x) = e^{x}$ is

Answer:

Solution:

Since $f (x) = x^{2}$ $∴ 2 x^{2} = e^{x}$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Functional Equation

⏱ 2mℹ️ Source: QB

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