Respuesta :

hello : 
F(x) = 2x + 6, g(x) = 4x²
 (f + g)(x)= f(x) +g(x) = 4x²+2x+6

Answer:  The correct option is

(C) [tex]4x^2+2x+6.[/tex]

Step-by-step explanation:  We are given the functions f(x) and g(x) as follows :

[tex]f(x)=2x+6,\\\\g(x)=4x^2.[/tex]

We are to find the value of (f+g)(x).

We know that

for any two functions p(x) and q(x), we have

[tex](p+q)(x)=p(x)+q(x).[/tex]

So, we get

[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=2x+6+4x^2\\\\=4x^2+2x+6.[/tex]

Thus, the required value is [tex](4x^2+2x+6).[/tex]

Option (C) is CORRECT.

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