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marialuizavalen

26.07.2022

Mathematics

Option C.

Step-by-step 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.

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