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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

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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!

(f – g)(x)=-2x-2. Therefore, option C is the correct answer.

The given functions are f(x) = –5x – 4 and g(x) = –3x – 2.

We need to find the value of (f – g)(x).

What is the function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, (f – g)(x)=–5x – 4-(–3x – 2)

=-5x+3x-4+2=-2x-2

Thus (f – g)(x)=-2x-2. Therefore, option C is the correct answer.

To learn more about the functions visit:

https://brainly.com/question/12431044.

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