9) \( \begin{array}{l} h(n)=4 n+1 \\ g(n)=n^{3}+5 \\ \text { Find } h(g(2))\end{array} \)

To find \( h(g(2)) \), we start by calculating \( g(2) \). Given: \[ g(n) = n^{3} + 5 \] Substituting \( n = 2 \): \[ g(2) = 2^{3} + 5 = 8 + 5 = 13 \] Now, we need to compute \( h(g(2)) \) or \( h(13) \). Given: \[ h(n) = 4n + 1 \] Substituting \( n = 13 \): \[ h(13) = 4(13) + 1 = 52 + 1 = 53 \] So, \( h(g(2)) = 53 \).