Matematika

Pertanyaan

f(x) = 3x pangkat dua - 4x + 6 dan g(x) = x - 5 hitunglah (fog)(-2)

1 Jawaban

  • f(x) = 3x^2 - 4x + 6
    g(x) = x - 5

    (fog)(x) = f(g(x))
    (fog)(x) = f(x - 5)
    (fog)(x) = 3(x - 5)^2 - 4(x - 5) + 6
    (fog)(x) = 3(x^2 - 10x - 25) - 4x + 20 + 6
    (fog)(x) = 3x^2 - 30x - 75 - 4x + 26
    (fog)(x) = 3x^2 - 34x - 49

    (fog)(-2) = 3(-2)^2 - 34(-2) - 49
    (fog)(-2) = 12 + 64 - 49
    (fog)(-2) = 27

    semoga membantu ^-^

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