Matematika

Pertanyaan

diket:f(x+2)=x-8per x+2 maka tentukan inversnya dan invers 3

1 Jawaban

  • f(x+2) = x-8 /x+2
    misal x+2 = a
    x = a -2

    f(a) = a-2-8 /a-2+2
    f(a) = a-10/a
    f(x) = x-10/x

    f(x) = x-10/x
    y = x-10/x
    xy = x-10
    xy-x = 10
    x(y-1)= 10
    x = 10/y-1

    f^-1(x) = 10/x-1

    f^-1(3) = 10/3-1
    =5

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