Question

What is (f - g)(x)?
f(x) = 3x?
g(x) = -x? + 4

Answer 1

(f - g)(x) = 4x - 4

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Combining Like Terms

Explanation:

Step 1: Define

f(x) = 3x

g(x) = -x + 4

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

Step 2: Find

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