Matematika

Pertanyaan

jika f(x-5)=x+2/x maka f^-1 (x) = ....

1 Jawaban

  • f(x-5)= x + 2 / x
    misal t = x-5
    x= t+5
    maka
    f(x) = (t+5)+2 / (x+5)
    f(x) = x + 7 / x+5

    cari inversnya

    y = x + 7 / x+5
    y(x+5) = x+7
    xy +5y = x+7
    xy-x = -5y+7
    x(y-1)=-5y+7
    x = -5y+7 / y-1
    f-ยน(x) = -5x+7 / x-1

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