Answer:
x^2 - 4x - 3
Step-by-step explanation:
f(x) = x^2 - 6x
g(x) = -2x + 3
(f - g)(x) is the subtraction of the functions, f(x) - g(x)
You need to write it carefully using parentheses for function g(x).
(f - g)(x) = f(x) - g(x) =
= x^2 - 6x - (-2x + 3)
Now take care of the parentheses by distributing the negative sign to its left. It will change every sign inside the parentheses.
= x^2 - 6x + 2x - 3
= x^2 - 4x - 3
