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$f:\mathbb{R}\rightarrow \mathbb{R}$: $f(a)+f(b)=f(ab)+f(a+b-ab)$

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#1
Baoriven

Baoriven

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Tìm các hàm $f$ tăng ($f:\mathbb{R}\rightarrow \mathbb{R}$) thỏa mãn:

$i)$ $f(0)=0;f(1)=1.$

$ii)$ $f(a)+f(b)=f(ab)+f(a+b-ab)$ với $\forall a,b\in \mathbb{R},a< 1< b.$


Edited by Baoriven, 15-01-2017 - 19:58.

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