Question

I need help to find the indicated operation:g(n)= 2n-2h(n)= n^2+3nFind (g×h)(n)

Answer 1

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

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):

`(g\circ h)(n)=2(n^2+3n)-2`

Simplify:

`(g\circ h)(n)=2n^2+6n-2`