Answer:We are given:
f(x) = 3x + 10x
g(x) = 4x - 2
(f-g)(x) is saying we want to take f(x) and subtract g(x).
Symbolically, (f-g)(x) = f(x) - g(x) = 3x + 10x - (4x - 2) = 3x + 10x - 4x + 2 = 3x + 6x + 2
Thus, (f-g)(x) = 3x + 6x + 2
Step-by-step explanation: The main points of the problem is to understand the notation of (f-g)(x) and to remember to distribute a negative throughout g(x) due to the subtraction.