Example 2

Find [math](f • g)(x)[/math] if [math]f(x)= \sqrt{x−3}[/math] and [math]g(x)= \sqrt{4-x}[/math]. Determine the domains over which [math]f(x)[/math], [math]g(x)[/math], and [math](f • g)(x)[/math] are defined.
[list=1][br][*]Find [math](f • g)(x)[/math].[br][/*][*]Determine the domain of [math]f(x)[/math].[br][/*][*]Determine the domain of [math]g(x)[/math].[br][/*][*]Determine the domain of [math](f • g)(x)[/math].[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.

Information: Example 2