Question

F(x)=x^3−2x+6

g(x)=2x^3+3x^2−4x+2

Find (f−g)(x).

Select one:
a. x^3+3x^2−2x+4
b. x^3+3x^2−2x−4
c. 3x^3+3x^2−6x+8
d. −x^3−3x^2+2x+4

Answer 1

d

Explanation:

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

f(x) - g(x)

= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute parenthesis by - 1

= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms

= - x³ - 3x² + 2x + 4 → d