Find all functions f:R2→R that for all real numbers x,y,z satisfies to the equation f(f(x,z),f(z,y))=f(x,y)+z
Problem
Source: 2019 Saudi Arabia IMO Training Test 4.2
Tags: functional, functional equation, algebra
Source: 2019 Saudi Arabia IMO Training Test 4.2
Tags: functional, functional equation, algebra
Find all functions f:R2→R that for all real numbers x,y,z satisfies to the equation f(f(x,z),f(z,y))=f(x,y)+z