Matematika

Pertanyaan

Jika (fog) (x) = x +1 dan f(x-2) = (x-1)/(x-2). Maka tentukan nilai g-1(2)

1 Jawaban

  • f(x-2)=x-1/x-2
    f(x-2+2)=x+2-1/x+2-2
    f(x)=x+1/x
    f(g(x))=g(x)+1/g(x)
    x+1=g(x)+1/g(x)
    g(x).x+g(x)=g(x)+1
    g(x)=1/x
    y=1/x
    x=1/y
    g-1(x)=1/x
    g-1(2)=1/2

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