Question

I need help with number 1 I’m crying so help

Answer 1

The two functions we have are:

$\begin{gathered} g(n)=n+2 \\ h(n)=-n^3+n \end{gathered}$

And we are asked to find the function:

$g(h(n))$

This means to plug the expression for h(n) into the value of n of g(n).

To solve, Take the function h(n):

$h(n)=-n^3+n$

And substitute it on g(n) as a replacement for the n value:

$\begin{gathered} g(n)=\boxed{n}+2 \\ g(h(n))=\boxed{-n^3+n}+2 \end{gathered}$

The result is:

$g(h(n))=-n^3+n+2$

Answer:

$g(h(n))=-n^3+n+2$