If f(x) = 3^x + 10x and g(x) = 4x-2, find (f-g)(x)

Question

f(x) = 3^x + 10x

g(x) = 4x - 2

What is: (f - g)(x)?

Answer 1

(f-g)(x) = 3^x + 10x - (4x - 2)

(f-g)(x) = 3^x + 6x + 2

Answer 2

We are given:

f(x) = 3^x + 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) = 3^x + 10x - (4x - 2) = 3^x + 10x - 4x + 2 = 3^x + 6x + 2

Thus, (f-g)(x) = 3^x + 6x + 2

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.

Answer 3

Add 10x+3x and then subtract 4x and add 2 to get 9x +2