If f(x) = 5x – 2 and g(x) = x+1, find (f = g)(x).
OA. 5x - x-3
B. 5x2 +1
O C. 5x® - X-1
D. 5x4 - 2

Answer: Choice A) 5x^3 - x - 3
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Work Shown:
We subtract the two functions like so
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( 5x^3-2 ) - ( x+1 )
(f - g)(x) = 5x^3 - 2 - x - 1
(f - g)(x) = 5x^3 - x - 3 ..... choice A
Note: be sure to remember to distribute the negative to every term inside (x+1), and not just to the x only.