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 new insight or understanding did you gain from this video?