Difference between revisions of "1986 IMO Problems/Problem 5"
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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>. | ||
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| + | [[Category:Olympiad Algebra Problems]] | ||
| + | [[Category:Functional Equation Problems]] | ||
Revision as of 08:42, 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 
.
