If $f: R \rightarrow R$ is defined by $f(x)=|x|$, then

• A

  $f^{-1}(x)=\frac{1}{|x|}$
• B

  $f^{-1}(x)=-x$
• C

  $f^{-1}(x)=\frac{1}{x}$
• Correct answer
  D

  The function $f^{-1}(x)$ does not exist.

Hence, the correct answer is option: 'D'.