Find a formula for the inverse of the following function, if possible. \[ s(x)=\left(x^{3}+5\right)^{\frac{1}{5}}-1 \] Answer How to enter your answer (opens in new window) Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. does not have an inverse function

Step 1 ：The function given is a composition of several basic functions. To find its inverse, we need to reverse the operations in the reverse order. The operations are: cubing, adding 5, taking the fifth root, and subtracting 1. The inverse operations are: adding 1, raising to the power of 5, subtracting 5, and taking the cube root.

Step 2 ：The inverse function should be \(s^{-1}(x) = \left((x+1)^{5}-5\right)^{\frac{1}{3}}\)

Step 3 ：\(\boxed{s^{-1}(x) = \left((x+1)^{5}-5\right)^{\frac{1}{3}}}\)