Matematika

Pertanyaan

tolong ajari untuk soal yg ada di foto.
terimakasih
tolong ajari untuk soal yg ada di foto. terimakasih

1 Jawaban

  • (g o f)(x) = g(f(x))
    = g(x - 3)
    = (2(x - 3) + 1)/((x - 3) - 1)
    = (2x - 6 + 1)/(x - 4)
    = (2x - 5)/(x - 4)

    (2x - 5)/(x - 4) = y
    y(x - 4) = 2x - 5
    xy - 4y = 2x - 5
    xy - 2x = 4y - 5
    x(y - 2) = 4y - 5
    x = (4y - 5)/(y - 2)
    (g o f)^-1(x) = (4x - 5)/(x - 2) ; x ≠ 2

    Cara lain
    (g o f)(x) = (ax + b)/(cx + d) = (2x - 5)/(x - 4)
    (g o f)^-1(x) = (-dx + b)/(cx - a) = (4x - 5)/(x - 2) ; x ≠ 2