Question

F(x) = 4x^3 + 7x^2 – 2x – 1
g(x) = 4x – 2
Find (f -g)(x).

Answer 1

(f - g)(x) = 4x³ + 7x² - 6x + 1

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 4x³ + 7x² - 2x - 1

g(x) = 4x - 2

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

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

1. Substitute: (f - g)(x) = 4x³ + 7x² - 2x - 1 - (4x - 2)
2. Distributive -1: (f - g)(x) = 4x³ + 7x² - 2x - 1 - 4x + 2
3. Combine like terms: (f - g)(x) = 4x³ + 7x² - 6x + 1