Matematika

Pertanyaan

Tolong bantu matematika pls
Tolong bantu matematika pls

1 Jawaban

  • Untuk mencari (f o g)^-1(x), tentukan dulu (f o g)(x) nya,
    (f o g)(x) = f(g(x))
    = (4((3x - 2)/(x - 4)) - 2)/((3x - 2)/(x - 4)) - 3)
    = ((12x - 8)/(x - 4)) - 2)/((3x - 2) - 3(x - 4))/(x - 4))
    = ((12x - 8) - (2x - 8))/(x - 4))/(10/(x - 4))
    = (10x/(x - 4))/(10/(x - 4))
    = x
    Invers komposisinya,
    (f o g)(x) = y
    x = y
    Maka, (f o g)^-1(x) = x.