Matematika

Pertanyaan

Diket (f•g)(x) = 4x²-4x-5 tentukan f(x) jika g(x) = 2x + 1

1 Jawaban

  • (fog) (x) = 4x²-4x-5
    f(g(x) = 4x²-4x-5
    f(2x+1)= 4x²-4x-5
    misal
    t = 2x+1
    2x = t-1
    x = t-1 / 2
    f(x) = 4(t-1 / 2)²-4(t-1 / 2) - 5
    = 2(t-1)² - 2(t-1)-5
    = 2(t²-2t+1) - 2t+2-5
    = 2t²-6t-1
    f(x) = 2x²-6x-1

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