Answer: x + 4
Explanation:
If it is asking us for (f - g)x, then we will subtract the function g from function f. Why? The x distributes creating f(x) - g(x), so we use this to solve.
Given:
g(x) = 2x - 2
f(x) = 3x + 2
Set up:
f(x) - g(x)
(3x + 2) - (2x - 2)
Distribute the negatie:
3x + 2 - 2x + 2
Reorder to combine like terms:
3x - 2x + 2 + 2
Combine like terms:
x + 4
(f - g)(x) = x + 4