Matematika

Pertanyaan

Nomor 17
Beserta jalannya
Nomor 17 Beserta jalannya

1 Jawaban

  • f(x) = 2x - 3
    g(x) = 1/(3x + 1)

    (fog)(x)
    = 2/(3x + 1) - 3
    = (2 - 3(3x + 1))/(3x + 1)
    = (2 - 9x - 3)/(3x + 1)
    = (-9x - 1)/(3x + 1)

    Ingat :
    Misal :
    h(x) = (ax + b)/(cx + d)
    h^-1 (x) = (-dx + b)/(cx - b)

    ••
    Maka
    (fog)^-1 (x) = (-x - 1)/(3x + 9)
    atau
    (fog)^-1 (x) = - (x + 1)/(3x + 9)