2

Part of 2008 Canada National Olympiad

Problems(1)

Determine all functions

Source: 40th Canadian Mathematical Olympiad

Determine all functions

f

defined on the set of rational numbers that take rational values for which f(2f(x) \plus{} f(y)) \equal{} 2x \plus{} y, for each

x

y

functionalgebrafunctional equationCanada