Find the inverse function of $f(x)=9+\sqrt[3]{x}$ \[ f^{-1}(x)= \] $>$ Next Question

Step 1 ：To find the inverse of a function, we need to switch the roles of x and y (or f(x)) and solve for y. In this case, we need to solve the equation \(x = 9 + y^{1/3}\) for y.

Step 2 ：Solving the equation gives us the inverse function as \(f^{-1}(x) = 729.0*(0.111111111111111*x - 1)^3\).

Step 3 ：\(\boxed{f^{-1}(x) = 729.0*(0.111111111111111*x - 1)^3}\) is the inverse function of \(f(x)=9+\sqrt[3]{x}\).