If $f(x)=e^{|x|}, g(x)=\log x$, then $(g$ of $)(x)=$

If $f(x)=e^{|x|}, g(x)=\log x$, then $(g$ of $)(x)=$
  1. $|x|$
  2. $1$
  3. $2 x$
  4. $-x^2$

Solution

$\begin{aligned} & f(x)=e^{|x|}, g(x)=\log x \\ & g \text { of }(x)=g(f(x))=\log e^{|x|}=|x|\end{aligned}$

Asked in: MHT CET 2022 (07 Aug Shift 2)

Practice more Functions questions on Aicharya