The inverse of the function $$ h(x) = \frac{2x + 3}{x - 1} $...

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

Key Concept Explanation
To find the inverse of a rational function, we need to solve for in terms of and then interchange and .

Step-by-step Solution
1. Start with the function .
2. Let .
3. Multiply both sides by : .
4. Distribute : .
5. Rearrange to isolate :