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] [*]Switch the domain and function variables, and then rewrite using inverse function notation. [*]Determine the domain of the function and the domain of the inverse. [*]Determine whether the function [math]f(x)[/math] exhibits one-to-one correspondence with its inverse. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math III[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.