Question

If f(x) = 3x2 - 2 and g(x) = 2x + 4, find (f - g)(x).

Answer 1

(f - g)(x) = 3x² - 2x - 6

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra

• Combining like terms
• Standard Form: ax² + bx + c = 0

Explanation:

Step 1: Define

f(x) = 3x² - 2

g(x) = 2x + 4

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

Step 2: Find

1. Substitute: (f - g)(x) = 3x² - 2 - (2x + 4)
2. Distribute -1: (f - g)(x) = 3x² - 2 - 2x - 4
3. Combine like terms: (f - g)(x) = 3x² - 2x - 6