SBMPTN

Pertanyaan

Soal no 70 umptn/B/1999
Soal no 70 umptn/B/1999

1 Jawaban

  • f(x) = 2x - 3, g(x) = 1/(3x + 1)
    (f o g)(x) = f(g(x))
    = 2g(x) - 3
    = 2(1/(3x + 1)) - 3
    = (2 - 3(3x + 1))/(3x + 1)
    = (2 - 9x - 3)/(3x + 1)
    = (-9x - 1)/(3x + 1) ====> -9 dan 1 ditukar posisi dan berubah tanda
    (f o g)^-1(x) = (-x - 1)/(3x + 9) = - (x + 1)/(3x + 9)