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

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

c

step-by-step explanation: