what is f(x) - g(x) when f(x)=3x-3 and g(x)=x^2-4
I got -x^2 + 2x + 4 - 3
but it was marked wrong
(3x-3) - (x^2-4)
= 3 x - 3 - x^2 + 4
= -x^2 + 3x + 1
To find the expression for f(x) - g(x), we need to substitute the given functions f(x) and g(x) into the expression.
First, let's substitute f(x):
f(x) - g(x) = (3x - 3) - g(x)
Now, let's substitute g(x):
f(x) - g(x) = (3x - 3) - (x^2 - 4)
Next, let's simplify the expression:
f(x) - g(x) = 3x - 3 - x^2 + 4
Combining like terms, we have:
f(x) - g(x) = -x^2 + 3x + 1
Therefore, the expression for f(x) - g(x) is -x^2 + 3x + 1.