yearzus
yearzus yearzus
  • 15-11-2019
  • Mathematics
contestada

PERFORM THE COMPOSITION
(not multiplication)

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

Respuesta :

carlosego
carlosego carlosego
  • 27-11-2019

For this case we have the following functions:

[tex]g (n) = 2n + 4\\h (n) = - 3n ^ 3 + 4[/tex]

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

[tex](g_ {o} h) (n) = g (h (n))[/tex]

So, we have:

[tex]g (h (n)) = 2 (-3n ^ 3 + 4) + 4 = -6n ^ 3 + 8 + 4 = -6n ^ 3 + 12[/tex]

Finally we have to:

[tex](g_ {o} h) (n) = - 6n ^ 3 + 12[/tex]

ANswer:

[tex](g_ {o} h) (n) = - 6n ^ 3 + 12[/tex]

Answer Link

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