If $$ g(x) = \sqrt[3]{x - 4} $$ , then $$ g^{-1}(x) = \under...

Question Analysis
This problem assesses the ability to find the inverse of a cubic root function.

Key Concept Explanation
To find the inverse of a function, we swap and and solve for . For the function , we need to express in terms of and then swap the variables.

Step-by-step Solution
1. Let , so .
2. Solve for