The function \( h(x)=(x+8)^{3} \) can be expressed in the form \( f(g(x)) \), where \( f(x)=x^{3} \), and \( g(x) \) is defined below: \( g(x)=\square \)

To express the function \( h(x) = (x+8)^3 \) in the form \( f(g(x)) \), where \( f(x) = x^3 \), we need to determine what \( g(x) \) should be. Since \( f(x) \) takes an input and cubes it, we see that the input to \( f \) must be \( g(x) = x + 8 \). Therefore, we can write: \( g(x) = x + 8 \). So, \( h(x) = f(g(x)) = f(x + 8) = (x + 8)^3 \). This gives us the complete expression we need!