Answer:
-x² + 2x + 8
Step-by-step explanation:
Essentially we need to subtract g(x) from f(x):
(f - g)(x) = f(x) - g(x) = (2x + 1) - (x² - 7)
Distribute the negative:
(2x + 1) - x² - (-7) = (2x + 1) - x² + 7
Combine like terms:
2x + 1 - x² + 7
-x² + 2x + 8
Thus, the answer is -x² + 2x + 8.
~ an aesthetics lover
