For f(x) = 3x +1 and g(x) = x2 - 6, find (f - g)(x). O A. 3x2 - 17
OB. - x2 + 3x + 7
O C. - x2 + 3x - 5
O D. x2-3x-7

D

Step-by-step explanation:

problem → f(x) = 3x + 1, g(x) = x2 - 6, find (f - g)(x).

f(x)=3x+1,g(x)=x2-6,(f-g)(x)=?

f(x)=3x+1

g(x)=x2-6

Now (f-g)(x)

 =f(x)-g(x)

=(3x+1)-(x2-6)

=3x+1-x2+6

=3x+7-x2

=-x^2 + 3x + 7