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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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 .