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Functional Equations in Olympiads by Elvin Aliyev is a document available to read on EtoBox.

What is Functional Equations in Olympiads about?

1. The document discusses composition of functions and groups of functions. It defines composition of functions f and g as f ◦ g and provides examples of computing compositions and finding their domains. 2. The document also discusses the Cauchy functional equation F(x+y)=F(x)+F(y) and provides proofs that any linear function satisfies this equation and continuous solutions must also be linear. However, there are discontinuous solutions as well. 3. The document concludes with problems involving composition

Author

Elvin Aliyev

Language

EN