Question

Question 3 of 10

f(x) = 2x³ + 3x² - 7x+2
g(x) = 2x - 5
Find (f + g)(x).
OA. (f+g)(x) = 2x³ + 3x² - 5x+3
OB. (f+g)(x) = 2x³ + 3x² + 5x+3
O C. (f+g)(x) = 2x³ + 3x² + 5x - 3
OD. (f+g)(x) = 2x³ + 3x² - 5x - 3

Answer 1

D. (f+g)(x) = 2x³ + 3x² - 5x - 3

Explanation:

Let's calculate (f + g)(x):

f(x) = 2x³ + 3x² - 7x + 2

g(x) = 2x - 5

Adding the functions:

(f + g)(x) = (2x³ + 3x² - 7x + 2) + (2x - 5)

Combine like terms:

(f + g)(x) = 2x³ + 3x² - 7x + 2x - 5

Simplify:

(f + g)(x) = 2x³ + 3x² - 5x - 3