Given:
The two functions are:
[tex]g(n)=4n+5[/tex]
[tex]f(n)=n^3+3n^2[/tex]
To find:
The function [tex](f+g)(n)[/tex].
Solution:
We have,
[tex]g(n)=4n+5[/tex]
[tex]f(n)=n^3+3n^2[/tex]
Now,
[tex](f+g)(n)=f(n)+g(n)[/tex]
[tex](f+g)(n)=n^3+3n^2+4n+5[/tex]
Therefore, the correct option is B.
