If $$ k(x) = 4x^2 - 7 $$ for $$ x \geq 0 $$ , then $$ k^{-1}...

Question Analysis
This problem assesses the ability to find the inverse of a quadratic function with a restricted domain.

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

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