Matematika

Pertanyaan

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Tolong dijawab ya... Pakai caranya. Pleasee...

1 Jawaban

  • f(x) = x/(1 - x)

    f(1/x) = (1/x) / (1 - 1/x)
    f(1/x) = 1/(x - 1)

    f(x) + f(1/x)
    = x/(1 - x) + 1/(x - 1)
    = x/(1 - x) - 1/(1 - x)
    = (x - 1) / (1 - x)
    = -(1 - x) / (1 - x)
    = -1

    •••
    f(x) + f(1/x) = -1
    •••

    f(2016) + f(1/2016) + f(2015) + f(1/2015) + ... + f(2) + f(1/2)
    = (-1) + (-1) + ... + (-1)
    = (-1) × 2015
    = -2015 ✔