2022 IMO Problems/Problem 2
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Problem
Let 
denote the set of positive real numbers. Find all functions 
such that for each 
, there is exactly one 
satisfying
![\[xf (y) + yf (x) \le 2\]](http://latex.artofproblemsolving.com/a/5/2/a52c8066dc22101920e4ab14534ff3bb74d149fb.png)
.
Solution
https://www.youtube.com/watch?v=nYD-qIOdi_c [Video contains solutions to all day 1 problems]
