Respuesta :
Answer: The correct option is (C) [tex]h(x)=4x+x-2.[/tex]
Step-by-step explanation: We are given three functions f(x), g(x) and h(x) as follows :
[tex]f(x)=4x+2\\\\g(x)=x-4\\\\h(x)=f(x)+g(x).[/tex]
We are to find the value of h(x).
To find the value of the function h(x), we just need to add the values f the functions f(x) and g(x).
Therefore, we get
[tex]h(x)\\\\=f(x)+g(x)\\\\=4x+2+x-4\\\\=4x+x-2.[/tex]
Thus, [tex]h(x)=4x+x-2.[/tex]
Option (C) is CORRECT.