CUET Preparation Today
CUET
-- Mathematics - Section B1
Relations and Functions
$f(x)=x \frac{a^x-1}{a^x+1}$ is :
even
odd
neither even nor odd
None of these
$f(x)=x \frac{a^x-1}{a^x+1}$
$f(-x)=(-x) \frac{a^{-x}-1}{a^{-x}+1}=x \frac{a^x-1}{a^x+1}=f(x)$
So f(x) is even.
Hence (1) is the correct answer.