Matematika

Pertanyaan

tentukan fungsi invers dari fungsi berikut :
f(x) = 2x + 1 / x - 3 , x ≠ 3

1 Jawaban

  • f(x) = (2x + 1) / (x - 3)
    Jika f(x) = (ax + b) / (cx + d)
    f^(-1)(x) = ( -dx + b) / (cx - a)
    a = 2 , b = 1 , c = 1 , d = -3
    Maka f^(-1)(x)
    = (3x + 1) / (x - 2)

    Bisa jg
    y = (2x + 1) / (x - 3)
    y(x - 3) = (2x + 1)
    xy - 3y = 2x + 1
    xy - 2x = 3y + 1
    x(y - 2) = 3y + 1
    x = (3y + 1) / (y - 2)
    f^(-1)(x) = (3x + 1) / (x - 2)

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