Matematika

Pertanyaan

1. jika f(x) = x^2 + 1 maka f(f(x))
2. jika f(x - 5) = x^2 + 2 maka f(2)

1 Jawaban

  • jawab

    1)
    f(x) = x²  + 1
    f{ f(x)} = f (x² +1) = (x² +1)² + 1
    = x⁴ + 2x² + 1  + 1
    = x⁴ + 2x² + 2

    2)
    f(x -5) = x² + 2
    f(2) = ...
    x - 5 = 2
    x = 7

    f(2) = (7²) + 2 = 49 + 2
    f(2) = 51

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