Question

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
Rrgggggg

Answer 1

Answer:

(f - g)(x) = 2x - 3

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Combining Like Terms

Explanation:

Step 1: Define

f(x) = 3x - 1

g(x) = x + 2

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

Step 2: Evaluate

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