Question

2. If f(x) = 3x³ - 4x + 6and g(x)= x³ + 3x² + x - 3, then find

A.(f+g)(x)
B.(f- g)(x)
C.(3f+2g)(x)
D. (3f-2g)(x)​

Answer 1

Below in bold.

Explanation:

f(x) = 3x³ - 4x + 6 and g(x) = x³ + 3x² + x - 3

A. (f+g)x = 3x³ - 4x + 6 + x³ + 3x² + x - 3 = 4x³ + 3x² - 3x + 3.

B. (f-g)x = 3x³ - 4x + 6 - (x³ + 3x² + x - 3) = 2x³ - 3x² - 5x + 9.

C. (3f+2g)(x) = 9x³ - 12x + 18 + 2x³ + 6x² + 2x - 6 = 11x³ + 6x² - 10x - 12.

C. (3f-2g)(x) = 9x³ - 12x + 18 - (2x³ + 6x² + 2x - 6) = 7x³ - 6x² - 14x - 24.