Question

find inverse of
$f(x) = |x|$
​

Answer 1

Answer:

Inverse of the function does not exist.

Step-by-step explanation:

Inverse of a function: Inverse of a function $f(x)$ is a function that brings range to domain of $f(x)$.

$f(x)=y\ inverse\ function\ is\ f^{-1}(y)=x$.

Given $f(x)=|x|$

This function is not one-one map because $f(x)=f(-x)$

$f(2)=2,\ f(-2)=2 \Rightarrow f(2)=f(-2)$

Inverse function exists only if the function is one-one map.

Hence here inverse function does not exist.