Question

PERFORM THE COMPOSITION

(not multiplication)

g(n)= 2n +4
h(n) = -3n^3 + 4
Find (g•h)(n)

Answer 1

For this case we have the following functions:

`g (n) = 2n + 4\\h (n) = - 3n ^ 3 + 4`

We must find
`(g_ {o} h) (n).` By definition of composition of functions we have:

`(g_ {o} h) (n) = g (h (n))`

So, we have:

`g (h (n)) = 2 (-3n ^ 3 + 4) + 4 = -6n ^ 3 + 8 + 4 = -6n ^ 3 + 12`

Finally we have to:

`(g_ {o} h) (n) = - 6n ^ 3 + 12`

ANswer:

`(g_ {o} h) (n) = - 6n ^ 3 + 12`