Watch the video and then solve the problem given below. Click here to watch the video. Express the given function \( h \) as a composition of two functions \( f \) and \( g \) so that \( h(x)=(f \circ g)(x) \), where one of the functions is \( x^{7}-5 \). \[ h(x)=\sqrt[4]{x^{7}-5} \] \( f(x)=\square \) (Simplify your answer.)

To express the function \( h(x) = \sqrt[4]{x^{7}-5} \) as a composition of functions \( f \) and \( g \), we need to choose one of the functions to match \( h(x) \). Let’s set \( g(x) = x^{7} - 5 \). This conveniently matches the innermost part of our original function. Now, to find \( f(x) \), we need to take the fourth root of whatever \( g(x) \) outputs. Thus, we have: \[ f(x) = \sqrt[4]{x} \] Putting it all together, we have: - \( g(x) = x^{7} - 5 \) - \( f(x) = \sqrt[4]{x} \) So, the composition \( h(x) = (f \circ g)(x) \) is accurately represented by \( h(x) = f(g(x)) = f(x^{7} - 5) = \sqrt[4]{x^{7} - 5} \).