Matematika

Pertanyaan

tlong jawab pake cara gan
tlong jawab pake cara gan

1 Jawaban

  • Definisi Invers
    f(x) = y maka f^-1 (y) = x

    Jadi

    f(x + 2) = g(2x - 1)
    maka
    f^-1(g(2x - 1)) = x + 2 .... (1)

    Misal
    g(2x - 1) = y
    maka
    g^-1 (y) = 2x - 1
    g^-1 (y) + 1 = 2x
    x = (1/2) g^-1 (y) + (1/2)

    Substitusikan ke pers (1)

    f^-1(g(2x - 1)) = x + 2
    f^-1 (y) = (1/2) g^-1 (y) + (1/2) + 2
    f^-1 (y) = (1/2) g^-1 (y) + (5/2)
    f^-1 (y) = (1/2) [g^-1 (y) + 5]
    f^-1 (x) = (1/2) [g^-1 (x) + 5]

    ^ = pangkat