Difference between revisions of "1986 IMO Problems/Problem 5"

(Created page with 'Find all (if any) functions <math>f</math> taking the non-negative reals onto the non-negative reals, such that (a) <math>f(xf(y))f(y) = f(x+y)</math> for all non-negative <math…')
(No difference)

Revision as of 07:04, 31 July 2010

Find all (if any) functions $f$ taking the non-negative reals onto the non-negative reals, such that

(a) $f(xf(y))f(y) = f(x+y)$ for all non-negative $x$, $y$;

(b) $f(2) = 0$;

(c) $f(x) \neq 0$ for every $0 \leq x < 2$.