Determining if two functions that are exactly the same have the same inverse

The video tutorial explains how to verify if two functions are inverses by using function composition. It demonstrates the process of plugging one function into another and simplifying complex fractions by multiplying by the reciprocal. The tutorial also covers verifying that F(G(X)) and G(F(X)) both equal X, confirming the functions are inverses.

What is the process to verify that two functions are indeed functions?

What does it mean to plug G of X into F of X?

How do you simplify a complex fraction when dividing by another fraction?

Explain the significance of multiplying by the reciprocal in fraction simplification.

What is the result when you perform G of F of X and what does it imply?