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 + 2

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

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

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