F(x) = x + 8 and g(x) = -4x - 3, find (f-g)(x)

5x + 11

Step-by-step explanation:

We are subtracting function g(x) from function f(x).

Write f(x) as is:  f(x) = x + 8.

Then change all of the signs of g(x):  -g(x) = 4x + 3.

Now combine like terms for the sum (f - g)(x) = x + 8 + 4x + 3.  We get

(f - g)(x) = 5x + 11