Tolong dijawab ya... Pakai caranya. Pleasee...
Matematika
KarniaSani
Pertanyaan
Tolong dijawab ya... Pakai caranya. Pleasee...
1 Jawaban
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1. Jawaban Anonyme
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 ✔