Question

If f(x) = x + 8 and g(x) = –4x – 3, find (f + g)(x).

Answer 1

Answer:

$\huge\boxed{\sf (f + g)(x) = -3x + 5}$

Step-by-step explanation:

Given functions:

• f(x) = x + 8
• g(x) = -4x - 3

Solution:

Add both functions

(f + g)(x) = x + 8 + (-4x - 3)

(f + g)(x) = x + 8 - 4x - 3

(f + g)(x) = x - 4x + 8 - 3

(f + g)(x) = -3x + 5

$\rule[225]{225}{2}$

Answer 2

Answer:

B

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= x + 8 - 4x - 3 ← collect like terms

= - 3x + 5