Find the inverse function [math]g(x)[/math] of the function [math]f(x) = 2x-\frac{3}{4}[/math]. Then verify algebraically that the two functions are inverses.
[list=1] [*]Find the possible inverse function [math]g(x)[/math] of the function [math]f(x) = 2x-\frac{3}{4}[/math]. [*]Find the composition [math]g(f(x))[/math] and verify that it simplifies to [math]x[/math]. [*]Find the composition [math]f(g(x))[/math] and verify that it simplifies to [math]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.