Find the inverse of the radical function [math]f(x)= \sqrt[3]{x + 2}[/math] if it exists, and determine the domain over which the function and its inverse exist.

[list=1][br][*]Switch the domain and function variables, and then rewrite using inverse function notation.[br][/*][*]Determine the domain of the function and the domain of the inverse.[br][/*][*]Determine whether the function [math]f(x)[/math] exhibits one-to-one correspondence with its inverse.[br][/*][/list][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com/]www.walch.com[/url] for more information.