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Wildan Bagus W

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Carilah semua fungsi $f:\mathbb{R} \to \mathbb{R}$ yang memenuhi hubungan rekursif

\[f(f(x)+y)=f(x^2-y)+4f(x) \cdot y\]

untuk semua bilangan real $x$, $y \in \mathbb{R}$.

Edited by Wildan Bagus W

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On 11/7/2017 at 5:57 AM, Wildan Bagus W said:

Carilah semua fungsi f:RRf:R→R yang memenuhi hubungan rekursif

 

f(f(x)+y)=f(x2y)+4f(x)yf(f(x)+y)=f(x2−y)+4f(x)⋅y

 

untuk semua bilangan real xx , yRy∈R .

Soalnya ada di 10 Tahun Olimpiade.org. Bukunya ada di forum pengumuman.

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