If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x). a. (f – g)(x) = –5x + 3x – 2 b. (f – g)(x) = 5x – 3x + 2 c. (f – g)(x) = –2x – 2 d. (f – g)(x) = –5x – 3x – 6

Hello!

We'll start by simplifying the required formula. (f – g)(x) can be rewritten as the following:

f(x) – g(x)

Now insert any known values into the simplified formula above:

(-5x – 4) – (-3x – 2)

Eliminate the parentheses by simplifying:

-5x – 4 + 3x + 2

Combine like terms:

-2x – 2

We have now proven that (f – g)(x) is equal to (-2x – 2).

The correct answer is C.

I hope this helps!