Respuesta :
Answer:
Option C.
Step-by-step explanation:
The given functions are
[tex]f(x)=x+2[/tex]
[tex]g(x)=x-4[/tex]
We need to find the value of [tex](fg)(x)[/tex].
Now,
[tex](fg)(x)=f(x)\cdot g(x)[/tex]
Substituting the values of given functions, we get
[tex](fg)(x)=(x+2)\cdot (x-4)[/tex]
[tex](fg)(x)=x(x-4)+2(x-4)[/tex]
[tex](fg)(x)=x^2-4x+2x-8[/tex]
[tex](fg)(x)=x^2-2x-8[/tex]
Therefore, the correct option is C.
