Answer:
(f - g)(x) = - x² + 2x + 3
Step-by-step explanation:
f(x) = 2x + 2
g(x) = x² - 1
To find (f - g)(x) subtract g(x) from f(x)
That's
(f - g)(x) = 2x + 2 - [ x² - 1]
(f - g)(x) = 2x + 2 - x² + 1
Group like terms
That's
(f - g)(x) = - x² + 2x + 2 + 1
We have the final answer as
(f - g)(x) = - x² + 2x + 3
Hope this helps you
