Q4Single correct4 Marks16 Mar 2025

Let functions $f(x)=\log(x^2)$, $g(x)=2\log x$, and $h(x)=(\log x)^2$ respectively. Choose the set of correct options.

A

$f(g(x))$ is not an injective function in its domain.

B

The domain of $f(x)$ and $g(x)$ are equal.

C

$f(g(x))$ is an injective function in its domain.

D

The range of $h(x)$ and $g(x)$ are equal.