1986 IMO Problems/Problem 5: Difference between revisions
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…' |
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(c) <math>f(x) \neq 0</math> for every <math>0 \leq x < 2</math>. | (c) <math>f(x) \neq 0</math> for every <math>0 \leq x < 2</math>. | ||
[[Category:Olympiad Algebra Problems]] | |||
[[Category:Functional Equation Problems]] | |||
Revision as of 07:42, 19 July 2016
Find all (if any) functions 
taking the non-negative reals onto the non-negative reals, such that
(a) 
for all non-negative 
, 
;
(b) 
;
(c) 
for every 
.
