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17 August, 16:32

F (x) = x² + 1

What is f (f (x)) ?

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Answers (2)
  1. 17 August, 16:36
    0
    f (f (x)) = (x^4) + 2 (x^2) + 2

    Step-by-step explanation:

    f (f (x)) = f (x), with the equation plugged into itself.

    That means that if f (x) = x^2 + 1, then:

    f (f (x)) = (x^2 + 1) ^2 + 1 - ->

    f (f (x)) = x^4 + 2x^2 + 1 + 1 - ->

    f (f (x)) = (x^4) + 2 (x^2) + 2
  2. 17 August, 16:49
    0
    x⁴ + 2x² + 2

    Step-by-step explanation:

    f (x) = x² + 1

    f (f (x)) = (f (x)) ² + 1

    f (f (x)) = (x² + 1) ² + 1

    f (f (x)) = x⁴ + 2x² + 1 + 1

    f (f (x)) = x⁴ + 2x² + 2
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