A) \[{{f}^{-1}}(x)=-x\]
B) \[{{f}^{-1}}(x)=\frac{1}{|x|}\]
C) the function \[{{f}^{-1}}(x)\] does not exist
D) \[{{f}^{-1}}(x)=\frac{1}{x}\]
Correct Answer: C
Solution :
We have , \[f(x)=|x|\] \[f(x)=\left\{ \begin{matrix} x, & if & x\ge 0 \\ -x, & if & x\le 0 \\ \end{matrix} \right.\] So, the function \[{{f}^{-1}}(x)\] does not exist.
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