Final answer:
To find (g-h)(x), subtract h(x) from g(x). The answer is -x + 8.
Step-by-step explanation:
To find (g-h)(x), we need to subtract h(x) from g(x). Thus, (g - h)(x) = g(x) - h(x).
Given that g(x) = 2x + 4 and h(x) = 3x - 4, we substitute these values into the equation.
(g - h)(x) = (2x + 4) - (3x - 4)
Expanding the equation, we distribute the negative sign to the terms in h(x):
(g - h)(x) = 2x + 4 - 3x + 4
Combining like terms, we have:
(g - h)(x) = -x + 8
Therefore, the answer is a. -x + 8.