Matematika

Pertanyaan

Fungsi invers f(x) =4x + 2 f(x) =2x + 1/ x-3 g(x) =2 / 3x + 2

1 Jawaban

  • a) f(x) = 4x + 2
    y = 4x + 2
    4x = y - 2
    x = (y - 2) / 4
    f-¹(x) = (x - 2) / 4

    b) f(x) = (2x + 1) / (x - 3)
    y = (2x + 1) / (x - 3)
    y(x - 3) = (2x + 1)
    yx - 3y = 2x + 1
    yx - 2x = 3y + 1
    x(y - 2) = 3y + 1
    x = (3y + 1) / (y - 2)
    f-¹(x) = (3x + 1) / (x - 2)

    g(x) =2 / 3x + 2
    y = 2 / (3x + 2)
    y(3x + 2) = 2
    3xy + 2y = 2
    3xy = 2 - 2y
    x = (2 - 2y) / (3y)
    g-¹(x) = (2 - 2x) / 3x

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