emmahouston77
emmahouston77 emmahouston77
  • 10-04-2019
  • Mathematics
contestada

F(x)=x^2+1 what is f(f(x))?

Respuesta :

jimrgrant1 jimrgrant1
  • 10-04-2019

Answer:

[tex]x^{4}[/tex] + 2x² + 2

Step-by-step explanation:

To obtain f(f(x)), substitute x = f(x) into f(x), that is

f(f(x)) = f(x² + 1) = (x² + 1)² + 1 = [tex]x^{4}[/tex] + 2x² + 1 + 1 = [tex]x^{4}[/tex] + 2x² + 2

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