Hello!
[tex]\large\boxed{(f-g)(x) = -9x}[/tex]
To find (f-g)(x), subtract g(x) from f(x):
f(x) = -3x²
g(x) = -3x² + 9x
(f-g)(x) = -3x² - (-3x² + 9x)
Distribute the negative sign:
(f-g)(x) = -3x² + 3x² - 9x
(f-g)(x) = -9x