F(x) = x + 2 g(x) = x – 4 (f g)(x) = 2x – 2 x2 – 8 x2 – 2x – 8 x2 + 2x – 8

Question

asked Oct 8, 2021 178k views

2 Answers

Nathan Hosselton · Answer 1 · 2021-10-14T05:31:54+0000

Answer:

Option C.

Explanation:

The given functions are

f(x)=x+2

g(x)=x-4

We need to find the value of
(fg)(x) .

Now,

$(fg)(x)=f(x)\cdot g(x)$

Substituting the values of given functions, we get

$(fg)(x)=(x+2)\cdot (x-4)$

(fg)(x)=x(x-4)+2(x-4)

(fg)(x)=x^2-4x+2x-8

(fg)(x)=x^2-2x-8

Therefore, the correct option is C.