$f(x)=x \frac{a^x-1}{a^x+1}$ is :

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

$f(x)=x \frac{a^x-1}{a^x+1}$ is :

Options:

even

odd

neither even nor odd

None of these

Correct Answer:

even

Explanation:

$f(x)=x \frac{a^x-1}{a^x+1}$

$f(-x)=(-x) \frac{a^{-x}-1}{a^{-x}+1}=x \frac{a^x-1}{a^x+1}=f(x)$

So f(x) is even.

Hence (1) is the correct answer.