Question

Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)

Answer 1

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Combining Like Terms

Explanation:

Step 1: Define

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

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

1. Substitute: (f - g)(x) = x² - 2x - 63 - (x + 7)
2. Distribute -1: (f - g)(x) = x² - 2x - 63 - x - 7
3. Combine like terms (x): (f - g)(x) = x² - 3x - 63 - 7
4. Combine like terms (Z): (f - g)(x) = x² - 3x - 70