Answer:
Step-by-step explanation:
Subtracting and adding functions is actually super intuitive. As a super simple example, if you had f(x)=5+x and g(x)=3 then (f-g)(x) = 5+x-3 = 2+x.
So you basically just add or subtract any like terms. So now with your two functions we can hopefully figure it out. let me know if there's anything you don't understand.
f(x) = x^2+2x-6
g(x) = x+5
(f-g)(x) = (x^2+2x-6) - (x+5) When subtracting you have to distribute the minus sign to the second function so -(x+5) becomes -x-5
(f-g)(x) = x^2+2x-6-x-5 So there's 2x-x and -6-5 which are x and -11
x^2+2x-6-x-5 = x^2+2x-x-6-5 = x^2+x-11
So that's the answer.
