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If f(x) = -5X - 4 and g(x) = -3x - 2, find (f + g)(x).

A. (f+ g)(x) = -8x - 6

B. (f+ g)(x) = 5x + 3x + 6

C. (f + g)(x) = -5% - 7x-2

D. (f + g)(x) = -5% - 3x - 6

1 Answer

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Final answer:

To find (f + g)(x), we simply add f(x) and g(x) together. The coefficient of x in f(x) is -5 and in g(x) is -3. The constant term in f(x) is -4 and in g(x) is -2. Therefore, (f + g)(x) = -8x - 6.

Step-by-step explanation:

To find (f + g)(x), we simply add f(x) and g(x) together. Given that f(x) = -5x - 4 and g(x) = -3x - 2, we can add the like terms. The coefficient of x is -5 in f(x) and -3 in g(x), so when we combine them, we get -5x - 3x. Similarly, the constant term in f(x) is -4 and in g(x) is -2, so when we combine them, we get -4 - 2. Therefore, (f + g)(x) = -8x - 6.

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