MathDB
(f(x+y)+f(x)) / (2x+f(y)) = (2y+f(x) ) / (f(x+y)+f(y))

Source: Indian Postal Coaching 2009 set 6 p6

May 26, 2020
functional equationfunctionalalgebra

Problem Statement

Find all functions f:N→Nf : N \to N such that f(x+y)+f(x)2x+f(y)=2y+f(x)f(x+y)+f(y)\frac{f(x+y)+f(x)}{2x+f(y)}= \frac{2y+f(x)}{f(x+y)+f(y)} , for all x,yx, y in NN.
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