Find the inverse, [math]g(x)[/math], of the function [math]f(x) = 4x^2[/math] and determine the domain value(s) over which the inverse exists.
[list=1] [*]Switch the domain and function variables, and then rename [math]f(x)[/math] as [math]g(x)[/math]. [*]Solve the possible inverse for [math]g(x)[/math]. [*]Determine the domain of [math]g(x)[/math]. [*]Determine the range of [math]g(x)[/math]. [*]Determine the domain of [math]f(x)[/math]. [*]Determine whether the function [math]f(x)[/math] exhibits one-to-one correspondence. [*]Determine the parts of its domain over which [math]f(x)[/math] exhibits one-to-one correspondence. [*]Determine the range of [math]f(x)[/math]. [*]Match domains to ranges to find the inverse(s) of [math]f(x)[/math]. [/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.