Answer:
[tex]4x+9+4x^2[/tex]
Step-by-step explanation:
The given functions are:
[tex]f(x)=4x+9[/tex] and [tex]g(x)=4x^2[/tex]
We want to find [tex](f+g)(x)[/tex].
Recall that:
[tex](f+g)(x)=f(x)+g(x)[/tex]
We substitute the functions to get:
[tex](f+g)(x)=4x+9+4x^2[/tex]
We now write in standard form to obtain:
[tex](f+g)(x)=4x^2+4x+9[/tex]
