If $$ k(x) = 2x^2 - 3 $$ for $$ x \geq 0 $$ , then the inver...

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

Key Concept Explanation
The inverse function reverses the effect of the original function . For a quadratic function, the inverse is found by solving for in terms of and considering the restricted domain.

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