Matematika

Pertanyaan

Tolong ya kak, bantu ngerjakan no 3 , terima kasih banyak
Tolong ya kak, bantu ngerjakan no 3 , terima kasih banyak

1 Jawaban

  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    h(x) = (ax + b)/(cx + d)
    h⁻¹ (x) = (-dx + b)/(cx - a)

    a] f(x) = (4x + 1)/(x + 3)
    f⁻¹ (x) = (-3x + 1)/(x - 4)

    b] (fog)⁻¹ (x) = (37 - 12x) / (2x - 8)
    (fog)⁻¹ (x) = (-12x + 37)/(2x - 8)
    ((fog)⁻¹)⁻¹ (x) = (fog) (x)
    (fog) (x) = (8x + 37)/(2x + 12)
    f(g(x)) = (8x + 37)/(2x + 12)
    (4 g(x) + 1)/(g(x) + 3) = (8x + 37)/(2x + 12)
    (4y + 1) . (2x + 12) = (y + 3) (8x + 37)
    8xy + 48y + 2x + 12 = 8xy + 37y + 24x + 111
    8xy - 8xy + 2x - 24x = 37y - 48y + 111 - 12
    -22x = -11y + 99
    x = (-11 (y - 9))/-22
    x = (y - 9)/2
    g⁻¹ (x) = (x - 9)/2