How to find the inverse of a cube root function

The video tutorial covers solving equations by replacing variables and eliminating cube roots. It explains how to solve for Y when it is under a cube root by cubing both sides of the equation. The instructor also discusses the domain of the function, emphasizing that it includes all real numbers. The session concludes with a reflection on previous problems.

What considerations must be made when determining the domain of a function?

What was the last problem mentioned, and why was it significant?