Question

Hey i need help with understanding how to do this

Answer 1

Given the functions

`\begin{gathered} g(n)\text{ = 2n-4} \\ \text{and} \\ h(n)=n^2\text{ +1-n} \end{gathered}`

Required: (g ° h)(n)

solution:

`\begin{gathered} (g\text{ }\circ\text{ h)(n) is expressed as }g(h(n)). \\ thus, \\ (g\text{ }\circ\text{ h)(n) = }g(h(n))\text{ } \end{gathered}`

g(h(n)) is evaluated by substituting the h(n) function into the g(n) function.

Thus,

Hence, the function (g ° h)(n) is evaluated to be

`2n^2-2n-2`