Write the inverse equation for each of the given functions. 3 of the 4 inverse equations will be functions, so use function notation for those.
Simplify the radical expression when absolute value bars are required for the final answer. This happens for expressions with an even index - like square roots, 4th root, 6th root, etc.
Absolute value is not required when roots are extracted from an expression with an odd index - like a cube root.
This video sketches a a couple square root functions and a cube root function. It also identifies the domain and range as well as talks about vertical stretches and vertical compressions (depending on the value of "a").
Solving this square root equation includes the need to factor and has an extraneous solution.
Includes a cube root equation and reviews the need to factor within the problem.