Question Analysis
This question tests the student's ability to find the inverse of a quadratic function, which involves solving a quadratic equation and considering both positive and negative roots.
Key Concept Explanation
To find the inverse of a quadratic function, we need to solve for in terms of and then interchange and . Quadratic functions can have two solutions, so we must consider both.
Step-by-step Solution
1. Start with the function:
2. Let :
3. Solve for :
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