Matematika

Pertanyaan

tolong di bantu ya :)
tolong di bantu ya :)

1 Jawaban

  • g (x) = x + 2 dan ( f o g )-1(x) = 2x + 3, f (x) = ?
    cari dulu g-1(x)
    misal g (x) = y
    y = x + 2
    x = y - 2
    g-1(x) = x - 2
    dari rumus ( f o g )-1(x) = g-1 o f-1 (x)
    g-1 { f-1(x) } = 2x + 3
    f-1(x) -2 = 2x + 3
    f-1(x) = 2x + 3 + 2
    f-1(x) = 2x + 5
    f(x) = { f-1(x) }-1
    misal f-1(x) = y
    y = 2x + 5
    2x = y - 5
    x = (y -5)/2
    f (x) = (x - 5)/2
    5) f(x) = (2x + 1)/(x -3)
    y = (2x + 1) /(x - 3
    (x -3)y = (2x + 1)
    xy - 3y = 2x + 1
    xy - 2x = 3y + 1
    (y - 2)x = 3y + 1
    x = (3y + 1) / (y - 2)
    f-1(x) = (3x + 1) / (x - 2)