Matematika

Pertanyaan

Jika diketahui f(x) = 3x+7 , sedangkan g(x)=x-1. Maka (fοg)-1(x) adalah...

2 Jawaban

  • FUNGSI INVERS

    f(x)=3x+7
    g(x)=x-1
    (fog)(x)=f(g(x))
                =f(x-1)
                = 3(x-1)+7
                = 3x-3+7
                = 3x+4

    (fog)^-1(x) = ?
    y = 3x+4
    y-4 = 3x
    y-4/3 = x

    (fog)^-1(x) = x-4 per 3
  • f(x)=3x+7
    g(x)=x-1
    (fog)(x)=f(g(x))
                =f(x-1)
                = 3(x-1)+7
                = 3x-3+7
                = 3x+4

    (fog)^-1(x) = ?
    y = 3x+4
    y-4 = 3x
    y-4/3 = x

    (fog)^-1(x) = x-4 per 3

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