Answer:
C. x - 4
Explanation:
f(x) = 3x - 6
g(x) = 2x - 2
To find f(x) - g(x), we'll substitute these 2 functions with their definitions above.
f(x) - g(x)
Putting in f(x):
(3x-6) - g(x)
Putting in g(x):
(3x-6) - (2x-2)
Expanding the parenthesis, we see that - (2x-2) becomes -2x + 2
The positive, 2x, becomes negative. The negative, -2, becomes positive.
3x - 6 - 2x + 2
Now just moving the x-terms together:
3x - 2x - 6 + 2
Since 3x-2x = x
x - 6 + 2
Since -6 + 2 = -4
x - 4
Answer: x - 4