A functionis given. Find the inverse function. Write your answer in the form.
Answer & Analysis
Analysis
Question Analysis
This question tests the 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 the quadratic equation for and then consider both the positive and negative roots. This often involves taking the square root of both sides.
Step-by-step Solution
1. Start with the function:
2. Let :
3. Subtract 3 to both sides:
4. Divide both sides by 2:
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