Question

F(x)=3x-2
Simplify F(2x)-F(x+2)​

Answer 1

3x - 6

Explanation:

To evaluate f(2x) and f(x + 2) substitute x = 2x and x = x + 2 into f(x)

f(2x) = 3(2x) - 2 = 6x - 2

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

Thus

f(2x) - f(x + 2)

= 6x - 2 - (3x + 4)

= 6x - 2 - 3x - 4

= 3x - 6