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 \( x^{7}-5 \). \[ h(x)=\sqrt[4]{x^{7}-5} \] \( f(x)=\sqrt[4]{x} \) (Simplify your answer.) \( g(x)=\square \) (Simplify your answer.)

To express the function \( h(x) = \sqrt[4]{x^{7}-5} \) as a composition of two functions \( f \) and \( g \), with one of the functions being \( f(x) = \sqrt[4]{x} \), we can define \( g(x) \) as the inner function that prepares the input for \( f \). So, we can set: \[ g(x) = x^{7} - 5 \] This means that \( g(x) \) takes \( x \) and transforms it to \( x^{7} - 5 \). Then, we can write \( h(x) \) as: \[ h(x) = f(g(x)) \] Which gives us: \[ h(x) = f(x^{7} - 5) = \sqrt[4]{x^{7} - 5} \] In summary: \[ g(x) = x^{7} - 5 \]