Answer:
Inverse of the function does not exist.
Step-by-step explanation:
Inverse of a function: Inverse of a function [tex]f(x)[/tex] is a function that brings range to domain of [tex]f(x)[/tex].
[tex]f(x)=y\ inverse\ function\ is\ f^{-1}(y)=x[/tex].
Given [tex]f(x)=|x|[/tex]
This function is not one-one map because [tex]f(x)=f(-x)[/tex]
[tex]f(2)=2,\ f(-2)=2 \Rightarrow f(2)=f(-2)[/tex]
Inverse function exists only if the function is one-one map.
Hence here inverse function does not exist.
