Algebra · Functional equations · Linear functions · Bijections · Coefficient comparison
Does there exist a bijection \(f \colon \mathbb{R} \to \mathbb{R}\) such that
\[ f(f(x)) - f(x) = 56x + 2008 \]
holds for every real number \(x\)?
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Serbian Municipal Competition 2009, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source