Respuesta :

[tex]\begin{gathered} g(n)=2n-2 \\ \\ h(n)=n^2+3n \end{gathered}[/tex]

Composition of functions:

You combine two functions bycomposition by using one of the functions to substitute the independient variable in the other one.

To find (g o h)(n) you substitute the n in the function g(n) for the function h(n):

[tex](g\circ h)(n)=2(n^2+3n)-2[/tex]

Simplify:

[tex](g\circ h)(n)=2n^2+6n-2[/tex]