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 new insight or understanding did you gain from this video?