Iamlolol
Iamlolol Iamlolol
  • 25-01-2021
  • Mathematics
contestada

Find fg(x)
[tex]f(x) = {x}^{2} + 2[/tex]
[tex]g(x) = {x}^{2} + 6x + 11[/tex]
​

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 30-01-2021

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123

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