The two functions we have are:
[tex]\begin{gathered} g(n)=n+2 \\ h(n)=-n^3+n \end{gathered}[/tex]
And we are asked to find the function:
[tex]g(h(n))[/tex]
This means to plug the expression for h(n) into the value of n of g(n).
To solve, Take the function h(n):
[tex]h(n)=-n^3+n[/tex]
And substitute it on g(n) as a replacement for the n value:
[tex]\begin{gathered} g(n)=\boxed{n}+2 \\ g(h(n))=\boxed{-n^3+n}+2 \end{gathered}[/tex]
The result is:
[tex]g(h(n))=-n^3+n+2[/tex]
Answer:
[tex]g(h(n))=-n^3+n+2[/tex]
