Question

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

O A. (f+ g)(x) = -2x + 8
O B. (f + g)(x) = -4x + 8
OC. (f+ g)(x) = -2x2 + 8x+ 8
OD. (f + g)(x) = -2x2 - 2x + 8

Answer 1

D. (f + g)(x) = -2x² - 2x + 8

Explanation:

Given:

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

Find (f + g)(x):

⇒
`f(x) + f(g)`

⇒
`3x + 5 + ( -2x^(2) - 5x + 3 )`

⇒
`3x + 5 - 2x^(2) - 5x + 3`

Combine like terms:

⇒
`-2x^(2) + 3x - 5x + 5 + 3`

⇒
`-2x^(2) - 2x + 8`

Answer: D. (f + g)(x) = -2x² - 2x + 8