Find the function that results from the composition [math]( f ∘ g )(x)[/math] if [math]f(x) = log x[/math] and [math]g(x) =\sqrt{x −1}[/math]. Determine the domains of [math]f(x)[/math], [math]g(x)[/math], and [math]( f ∘ g )(x)[/math].
[list=1] [*]To find [math]( f ∘ g )(x)[/math], find [math]f(g(x))[/math]. [*]Determine the domain of [math]f(x)[/math]. [*]Determine the domain of [math]g(x)[/math]. [*]Determine the domain of the composition [math]( f ∘ g )(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.