How to find the inverse of a squared function

The video tutorial explains the process of solving equations by swapping variables and undoing operations like squaring and square roots. It highlights the importance of constraints in ensuring the resulting inverse is a function. The tutorial uses graph analysis to demonstrate why certain constraints are necessary, focusing on the positive form of roots to maintain functionality.

What happens when the inverse does not produce a function, and why is this a concern?

How does the graph of the function relate to the constraints placed on the variables?