Determine the inverse function of h(x): $\begin{array}{l}h(x)=11 x^{3}+2 \\ h^{-1}(x)=\end{array}$

Step 1 ：\(y = 11x^3 + 2\)

Step 2 ：\(x = 11y^3 + 2\)

Step 3 ：\(x - 2 = 11y^3\)

Step 4 ：\((x - 2) / 11 = y^3\)

Step 5 ：\(y = ((x - 2) / 11)^{1/3}\)

Step 6 ：\(h^{-1}(x) = ((x - 2) / 11)^{1/3}\)

Step 7 ：\(h(h^{-1}(x)) = h(((x - 2) / 11)^{1/3}) = 11 * (((x - 2) / 11)^{1/3})^3 + 2 = x\)

Step 8 ：\(\boxed{h^{-1}(x) = ((x - 2) / 11)^{1/3}}\)