Matematika

Pertanyaan

1.Diketahui f (×)=5×-2
fog (×)=6×+1
tentukan g (×)
2.Diketahui g (×)=6×+2
fog (×)=7×+2
tentukan f (×)

1 Jawaban

  • 1)

    f(x) = 5x - 2
    f(g(x)) = 6x + 1
    5g(x) - 2 = 6x + 1
    5g(x) = 6x + 3
    g(x) = (6/5)x + (3/5)

    2)
    g(x) = 6x + 2
    f(g(x))= 7x + 2
    f(6x+2) = 7x + 2
    6x + 2 = a
    6x = a - 2
    x = (a-2)/6

    f(a) = 7((a-2)/6) + 2
    = (7a-14)/6 + 12/6
    = (7a -2)/6

    f(x) = (7x - 2) / 6

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