Let (fx) = -2x + 4 and g(x) = -6x - 7. find f(x) - g(x) and show steps.

Given,
(fx) = -2x + 4
g(x) = -6x - 7

 f(x) - g(x) = -2x + 4 - (-6x - 7)
= -2x + 4 + 6x + 7 (multiplication of signs; minus times minus is equal to plus)

Collect like terms
= 6x - 2x + 4 + 7
= 4x + 11

Therefore,  f(x) - g(x) = 4x + 11

f(x) - g(x) = 4x + 11

Explanation:
We are given that:
f(x) = -2x + 4
g(x) = -6x - 7
We want to get f(x)-g(x), this means that we will simply subtract g(x) from f(x) as follows:
f(x) - g(x) = (-2x + 4) - (-6x - 7)
               = -2x + 4 + 6x + 7
               = (-2+6)x + (4+7)
               = 4x + 11

Hope this helps :)