For the functions [math]f(x)=\frac{1}{2}(x + 6)[/math] and [math]g(x)=-x-2[/math], find the sum [math](f + g)(x)[/math] and simplify the resulting expression if necessary. 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 = 3[/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 when [math]x = 3[/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.