How do you find the inverse of f(x)= absx + 1?

1 Answer
Jul 26, 2018

f^-1" does not exist".

Explanation:

Note that, for the function f defined by f(x)=|x|+1,

f(-1)=|-1|+1=1+1=2, and

f(1)=|1|+1=2.

So, f(-1)=f(1).

Therefore, f is not 1-1.

We know that f^-1" exists "iff f" is 1-1 and onto".

Hence, for the given function f, its inverse does not exist.