How to verify the power and root function are inverses of each other

The video tutorial explains the process of composing functions, specifically inserting G of X into F of X. It demonstrates this with examples involving cube roots and simplification. The tutorial emphasizes understanding the difference between F of G of X and G of F of X, and guides through the simplification process, showing how certain operations cancel each other out, ultimately simplifying the expression to X.

What new insight or understanding did you gain from this video?