For f x 3x 1 and g x x2 6 find f g x A 3x2 17 B x2 3x

For f (x) = 3x + 1 and g (x) = x^2 - 6, find (f - g) (x). A. 3x^2 - 17 B. -x^2 + 3x + 7 c. x^2 - 3x - 7 D. -x^2 + 3x - 5

Solution:

f(x) =3x+1

and g(x) = x² -6

(f-g)(x) = f(x) -g(x)

plug f(x) and g(x)

(f-g)(x) = 3x+1 -(x²-6)

= 3x+1 -x² +6

= -x² +3x +7

therefore option (B) is correct

Answer (B)