Question

F(x) = 2x3 - 3x2 + 5

g(x) = 3x3 + 2x2 - 4x - 9
Find (f - g)(x).
O – x3 – 5x2 + 4x + 14
O – x3 – x2 - 4x - 4
O 5x3 – x2 - 4x - 4
O x3 + 5x2 - 4x – 14

Answer 1

(f - g)(x) = -x³ -5x² + 4x + 14

Explanation:

f(x) = 2x³ - 3x² + 5

g(x) = 3x³ + 2x² - 4x - 9 subtract

(f - g)(x) = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)

(f - g)(x) = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)

(f - g)(x) = (-1)x³ + (-5)x² + (4)x + (14)

(f - g)(x) = -x³ -5x² + 4x + 14