# How do you find #f^-1x# and how must x be restricted in #f^-1x# given #f(x)=4+2cos(x-3)# and #3<=x<=3+pi#?

##### 1 Answer

Jan 31, 2018

As with all inverse functions, start by taking equation

We have

Doing some algebraic manipulation we get:

This is our

Since

The implied domain of

Hence: