Question

Question 7 of 25

If f(x) = 3x2 - 2x + 4 and g(x) = 5x2 + 6x - 8, find (f+ g)(x).

A. (f+ g)(x) = -2x2 - 8x+ 12

B. (f+g)(x) = 8x2 + 8x + 12

O C. (f+g)(x) = 2x2 + 8x - 12

D. (f+g)(x) = 8x2 + 4x - 4

Answer 1

Answer:

  D. (f+g)(x) = 8x^2 + 4x - 4

Step-by-step explanation:

The notation (f+g)(x) is shorthand for f(x) +g(x).

  (f +g)(x) = f(x) +g(x) = (3x^2 -2x +4) +(5x^2 +6x -8)

  = (3 +5)x^2 +(-2 +6)x +(4 -8)

  (f +g)(x) = 8x^2 +4x -4