Matematika

Pertanyaan

tolong aku dong besok di kumpulin
tolong aku dong besok di kumpulin

1 Jawaban

  • f(x) = x-3 dan (gof)^(-1) (x)= (x+2)/5

    y=(x+2)/5 ==> 5y=x+2 ==> x=5y-2
    maka, (gof)(x) = 5x-2
    g(f(x)) = 5x-2
    g(f(x)) = 5x - 15 + 13
    g(f(x)) = 5(x-3) + 13
    g(f(x)) = 5f(x) + 13
    g(x) = 5x + 13

    y=5x+13 ==> 5x=y-13 ==> x=(y-13)/5
    maka, g^(-1) (x) = (x-13)/5

    Jadi, g^(-1) (x) = (x-13)/5 dan
    g(x) = 5x + 13