Final answer:
To find (f - g)(x), subtract g(x) from f(x) and combine like terms.
Step-by-step explanation:
To find (f - g)(x), we need to subtract g(x) from f(x).
Given f(x) = -x² - x - 2 and g(x) = 4x - 3, we can substitute the functions into (f - g)(x) as follows:
(f - g)(x) = f(x) - g(x) = (-x² - x - 2) - (4x - 3)
To simplify, we combine like terms:
(f - g)(x) = -x² - x - 2 - 4x + 3
Combining like terms further:
(f - g)(x) = -x² - 5x + 1