Question

How do you find the inverse of `f(x)= -|x+1|+4`?

Answer 1

The function `f(x)` does not have an inverse.

Explanation:

Given a function of x such that `y = f(x)`, the function has an inverse, if and only if, there is one and only one value of x that produces a given value of y.

Except for the point `(-1,4)` there are two values of x that produce a given value of y, therefore, there is no inverse.