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jika diketahui f(x-3) = (x-6) / (x+3) , maka f infers (1/2) =

1 Jawaban

  • f(x-3) = (x-6) / (x+3)
    f((x-3)+3) = (x+3-6) / (x+3+3)
    f(x-3+3) = (x-3) / (x+6)
    f(x) = (x-3) / (x+6)
    untuk mencari invers, kita misalkan f(x) = y
    y = (x-3) / (x+6)
    y (x+6) = (x-3)
    xy + 6y = x - 3
    xy = x - 3 - 6y
    xy - x = - 3 - 6y
    x (y-1) = -3-6y
    x = (-3-6y) / (y-1)

    maka, f invers (x) = (-3-6x) / (x-1)
    f invers (½) = (-3-6(½) / (½-1)
    f invers (½) = (-3-3) / (-½)
    f invers (½) = -6 / -½
    f invers (½) = -6 . -2
    f invers (½) = 12

    semoga mambantu

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