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Question: Answered & Verified by Expert
If $f(x)=e^{|x|}, g(x)=\log x$, then $(g$ of $)(x)=$
MathematicsFunctionsMHT CETMHT CET 2022 (07 Aug Shift 2)
Options:
  • A $|x|$
  • B $1$
  • C $2 x$
  • D $-x^2$
Solution:
1469 Upvotes Verified Answer
The correct answer is: $|x|$
$\begin{aligned} & f(x)=e^{|x|}, g(x)=\log x \\ & g \text { of }(x)=g(f(x))=\log e^{|x|}=|x|\end{aligned}$

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