Matematika

Pertanyaan

jika f(x)=3/2x-1 dan (fog)(x)= 3x+3/x-1, maka g(x-1) = ........

1 Jawaban

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

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