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If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).​

If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).​-example-1

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Answer:

C. 5x² - 4

General Formulas and Concepts:

Algebra I

  • Composite Functions
  • Combining Like Terms

Explanation:

Step 1: Define

f(x) = 4x² + 1

g(x) = x² - 5

(f + g)(x) is f(x) + g(x)

Step 2: Find (f + g)(x)

  1. Substitute: (f + g)(x) = 4x² + 1 + x² - 5
  2. Combine like terms: (f + g)(x) = 5x² - 4

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