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Functional equation: composition to get quadratic

Puzzling Asked on May 16, 2021

Consider the following functional equation: $$f(f(x))=x^2+x-7quadquadforall; xinmathbb{R}.$$ Does there exist a function $f:mathbb{R}tomathbb{R}$ satisfying this, or not?

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Answered by Paul Panzer on May 16, 2021

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