Find all injective functions f:R→R such that for all real x≠y , f(x+yx−y)=f(x)+f(y)f(x)−f(y)
Source: Switzerland - Swiss TST 2004 p11
Tags: functional equation, functional
Find all injective functions f:R→R such that for all real x≠y , f(x+yx−y)=f(x)+f(y)f(x)−f(y)