Matematika

Pertanyaan

Dik = f(x) = x - 1
g(x) = x pangkat 2 - 2x + 6
Dit = a. gof (x)
b. gof (3)

1 Jawaban

  • f(x) = x - 1
    g(x) = x² - 2x + 6

    A).
    gof(x) = g(f(x)
    gof(x) = g(x - 1)
    gof(x) = (x - 1)² - 2(x - 1) + 6
    gof(x) = x² - 2x + 1 - 2x + 2 + 6
    gof(x) = x² - 4x + 9

    B). gof(x) = x² - 4x + 9
    gof(3) = 3² - 4(3) + 9
    gof(3) = 9 - 12 + 9
    gof(3) = -3 + 9
    gof(3) = 6

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