Art of Problem Solving

AoPS Online

1986 IMO Problems/Problem 5

Revision as of 06:04, 31 July 2010 by Kennyworm (talk | contribs) (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…')

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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 $0 \leq x < 2$ .

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1986_IMO_Problems/Problem_5&oldid=35554"

© 2024 AoPS Incorporated