Matematika

Pertanyaan

f(x) =2/3x-1 - 3/6x-2

tentukan f^-1(x) nya ! (inverse)

1 Jawaban

  • Fungsi Invers

    f(x) = 2/(3x - 1) - 3/(6x - 2)
    f(x) = 1/(3x - 1) [2 - 3/2]
    f(x) = 1/(2(3x - 1))
    f(x) = y = 1/(6x - 2)
    6x - 2 = 1/y
    6x = 2 - 1/y
    6x = (2y - 1)/y
    x = (2y - 1)/(6y)

    f^-1 (x) = (2x - 1) / 6x

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