Difference between revisions of "1989 APMO Problems/Problem 5"
(Created page with "==Problem== Determine all functions <math>f</math> from the reals to the reals for which (1) <math>f(x)</math> is strictly increasing and (2) <math>f(x) + g(x) = 2x</math> f...") |
(No difference)
|
Latest revision as of 21:57, 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 .)
