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

User Arisleyda
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4.5k points

2 Answers

3 votes

Answer:

c

Explanation:

User BrandonG
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4.3k points
5 votes

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.

User Nathan Hosselton
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4.3k points