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

(f - g)(x) = 4x³ + 7x² - 6x + 1

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

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)

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

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