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

For f (x) = 3x + 1 and g (x) = x^2 - 6, find (f middot g) (x). A. 3x^2 -17 B. 3x^3 + x^2 - 6x - 6 C. 3x^3 + x^2 - 18x - 6 D. 4x^2 - 6x - 8

Solution

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)

= 3x³ -18x + x² -6

= 3x³ + x² - 18x - 6

therefore option (C) is correct

Answer (C)