Finding the inverse of a rational function with a root as a denominator

The video tutorial explains how to find the inverse of a function. It begins by replacing F of X with Y to facilitate algebraic manipulation. The tutorial emphasizes the concept of inverse operations, which involve reversing the original operations applied to X. The process includes solving for Y by manipulating the equation, such as multiplying and dividing terms, and handling square roots. Finally, the inverse function is expressed in proper notation, completing the process.

What is the first step in finding the inverse of a function according to the text?

Why do we replace F of X with Y when finding the inverse of a function?

Explain the process of swapping X and Y in the context of inverse functions.

What operation is performed to eliminate the square root when solving for Y?

How do you express the final result in inverse function notation?