let f(x)=3x-2 and g(x)=x squared+6 use them (f-g)(x)
To find the expression for (f-g)(x), we need to subtract the function g(x) from f(x).
Given:
f(x) = 3x - 2
g(x) = x^2 + 6
To subtract g(x) from f(x), we can simply subtract each term of g(x) from the corresponding term of f(x).
(f-g)(x) = f(x) - g(x)
Substituting the given expressions:
= (3x - 2) - (x^2 + 6)
Now we can perform the subtraction:
= 3x - 2 - x^2 - 6
Rearranging the terms:
= -x^2 + 3x - 2 - 6
Simplifying further:
= -x^2 + 3x - 8
Therefore, (f-g)(x) = -x^2 + 3x - 8.