Matematika

Pertanyaan

jika f(x) = 2x-1/2x-3 maka nilai dari f-¹ (3) adalah?
tolong respon cepattt
jika f(x) = 2x-1/2x-3 maka nilai dari f-¹ (3) adalah? tolong respon cepattt

2 Jawaban

  • f(x) = (2x - 1)/(2x - 3)

    f^-1 (2x - 1)/(2x - 3) = x
    f^-1 (3) = x

    (2x - 1)/(2x - 3) = 3
    2x - 1 = 3(2x - 3)
    2x - 6x = 1 - 9
    -4x = -8
    x = 2

    f^-1 (3) = x
    f^-1 (3) = 2
  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    f(x) = (ax + b)/(cx + d)
    f^-1 (x) = (-dx + b)/(cx - a)

    f(x) = (2x - 1)/(2x - 3)
    f^-1 (x) = (3x - 1)/(2x - 2)
    f^-1 (3) = (3 . 3 - 1)/(2 . 3 - 2)
    f^-1 (3) = (9 - 1)/(6 - 2)
    f^-1 (3) = 8/4
    f^-1 (3) = 2