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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決 
一題數學題(2013年APMO初選試題)
Aug 3rd 2013, 13:28

令函數 f 為正實數映射到實數，且滿足下列條件：
(i) f 是嚴格遞增函數
(ii)對任意的正實數x，滿足不等式 f(x)＞(-1)/x
(iii)對任意的正實數x，滿足等式 f(x)f(f(x)+(1/x))=1

則依照以上條件 f(2)= ?(化成最簡分數)

Ans：(1-√5)/4
請給我詳解 ，謝謝！

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