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

1 Answer
Feb 23, 2018

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


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.