Just Find One Function

★ 5/10functions Substitution Functional Equations

Problem

A function $f$ satisfies, for all $x, y \in \mathbb{R}$ ,

f(x - f(y)) = f(f(y)) + 2x f(y) + f(x) - 1.

Write down one such function $f(x)$ .

Answer

Solution

Difficulty	5/10
Topics	functions, Substitution, Functional Equations

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