Writing the inverse of a function given a square root

The video tutorial walks through solving an example function F of X = X - 3. It outlines the steps to find the inverse function: replacing F of X with Y, swapping X and Y, and solving for Y by undoing the square root. The final solution is presented as Y = X^2 + 3, or F inverse of X = X^2 + 3.

What is the first step in transforming the function F of X?

Explain the process of swapping the X and Y variables.

How do you solve for Y after squaring both sides?

Describe the significance of adding 3 in the final equation.

What is the final expression for Y after completing the transformation?