How to write the inverse of a power function

The video tutorial explains the steps to solve a mathematical problem by replacing F of X with Y, swapping variables, and solving for Y using cube roots. It emphasizes the importance of identifying the domain, noting that even roots cannot be taken of negative numbers, but odd roots can. The domain is all real numbers from negative to positive infinity.

What types of numbers can you take the cube root of, according to the explanation provided?

Describe the domain of the function discussed in the text.