let f(x)=3x-2 and g(x)=x squared+6 use them (f-g)(x)
To evaluate (f-g)(x), we need to subtract g(x) from f(x).
First, let's find g(x):
g(x) = x^2 + 6
Next, let's find f(x):
f(x) = 3x - 2
Now, we can subtract g(x) from f(x) to find (f-g)(x):
(f-g)(x) = f(x) - g(x)
= (3x - 2) - (x^2 + 6)
Simplifying further:
(f-g)(x) = 3x - 2 - x^2 - 6
= -x^2 + 3x - 8
Therefore, (f-g)(x) is equal to -x^2 + 3x - 8.