Matematika

Pertanyaan

F(X)=X+3,g(X)=2(X)-1,data(Fog)-1(X)=...?

2 Jawaban

  • fog = fg(x) = f(2x-1) =2x-1+3 = 2x-2

    invers y = 2x-2
    2x= -2-y
    x = -2-y/2

    jadi (fog)-1(x)= -y-2/2= -y/2  -1
  • f(x) = x + 3
    f^-1 (x) = x - 3

    g(x) = 2x - 1
    g^-1 (x) = (1 + x)/2

    (fog)(x)
    = (g^-1 o f^-1)(x)
    = (1 + (x - 3))/2
    = (x - 2)/2 ✔

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