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In this exercise, we will find the formula for the inverse of the function:
[math]
For this function [math] and its inverse [math] it must be true that:
[math]
We can use this fact to actually solve for the function [math]
We will use function composition to simplify the following equation, just writing the expression [math] as the input of the function [math]
[math]
We are trying to find the function [math] We can treat [math] as a variable in the last equation and solve for it by using algebra.
Answer: [math]

Hint:

Solution: