Hello!
[tex]\large\boxed{(f - g)(x) = x^2 + 8}[/tex]
To calculate (f - g)(x), we simply subtract g(x) from f(x).
We are given that:
f(x) = 2x² + 1
g(x) = x² - 7
Subtract g(x) from f(x):
(f - g)(x) = 2x² + 1 - (x² - 7)
Distribute the negative sign. Remember, (-) times (-) is (+).
(f - g)(x) = 2x² + 1 - x² + 7
Combine like terms and solve.
(f - g)(x) = 2x² - x² + 1 + 7
(f - g)(x) = x² + 8
