Difference between revisions of "1989 APMO Problems/Problem 5"
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Latest revision as of 20:57, 11 July 2021
Problem
Determine all functions from the reals to the reals for which
(1) is strictly increasing and (2)
for all real
,
where is the composition inverse function to
. (Note:
and
are said to be composition inverses if
and
for all real
.)