Matematika

Pertanyaan

Jika g(x) = x-1 dan (f.g)(x) = 2x²-4x+3 maka fungsi f(x)

1 Jawaban

  • g(x) = x - 1
    (f○g)(x) = 2x^2 - 4x + 3
    f○(g(x)) = f○(x - 1) = 2x^2 - 4x + 3
    f(x) = 2x^2
    f○(g(x)) = 2(x - 1)^2 = 2[x^2 - 2x + 1]
    = 2x^2 - 4x + 2
    [2x^2 - 4x + 3] - [2x^2 - 4x + 2] = 1
    f(x) = 1
    f(x) = 2x^2 + f(x) = 1
    => f(x) = 2x^2 + 1
    Jadi fungsi f(x) = 2x^2 + 1

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