2022 OIM Problems/Problem 3
Problem
Let 
be the set of real numbers. Find all functions 
satisfying the following conditions simultaneously:
(i) $f(yf(x)) + f(x − 1) = f(x)f(y)$ (Error compiling LaTeX. Unknown error_msg) for every 
in .
(ii) 
for every 
with 
.
Solution
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