If f(x) = x + 8 and g(x) = –4x – 3, find (f – g)(x). a. (f – g)(x) = –5x – 11 b. (f – g)(x) = –3x + 5 c. (f – g)(x) = –3x – 5 d. (f – g)(x) = 5x + 11

For this case we have the following functions:

 f (x) = x + 8

 g (x) = -4x - 3

 Subtracting the functions we have:

 (f - g) (x) = f (x) - g (x)

 (f - g) (x) = (x + 8) - (-4x - 3)

 Rewriting:

 (f - g) (x) = x + 8 + 4x + 3

 (f - g) (x) = 5x + 11

 D. (f - g) (x) = 5x + 11

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