1 Answer

MindTree · Answer 1 · 2023-12-22T00:39:52+0000

Given the following functions:

f(x) = -3x - 6

g(x) = 5x + 2

(f + g)(x) means we will be adding the two functions.

$(f\text{ + g)(x) = f(x) + g(x)}$

Let's now determine the sum of two functions.

$(f\text{ + g)(x) = f(x) + g(x) = (-3x - 6) + (5x + 2)}$
$\text{ = -3x - 6 + 5x + 2}$
$=\text{ 5x - 3x + 2 - 6}$
$(f+g)(x)=\text{ 2x - 4}$

Therefore, the sum of the two functions is 2x - 4. The answer is letter A.

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