For the functions [math]f(x) = x[/math] and [math]g(x) = \cos x[/math], find the product [math](f • g)(x)[/math]. Verify both algebraically and graphically that [math](f • g)(x)[/math] and [math]f(x) • g(x)[/math] yield the same result. Use [math]x = \pi[/math] as a test value.
[list=1] [*]Find [math](f • g)(x)[/math] and simplify the resulting expression if necessary. [*]Verify algebraically that [math](f • g)(x)[/math] and [math]f(x) • g(x)[/math] yield the same result. [*]Verify graphically that [math](f • g)(x)[/math] and [math]f(x) • g(x)[/math] yield the same result. [/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.