Precalculus Textbook 8th Edition Section 1.4 Exercise 49 Solution

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Question:

If f(x) = x² + 1, then find fof(x).

Option A: 2x² + 2

Option B: 2x² + 1

Option C: x⁴ + 1

Option D: x⁴ + 2x² + 1

Option E: x⁴ + 2x² + 2

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Solution:

The given function is f(x) = x² + 1.

Then, fof(x) = [f(x)]² + 1 =(x² + 1)² + 1 = x⁴ + 2x² + 1 + 1 = x⁴ + 2x² + 2 (Option E)

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