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OBM 1993 Problem 5

    Find at least one function f:R→Rf: \mathbb R \rightarrow \mathbb R such that f(0)=0f(0)=0 and f(2x+1)=3f(x)+5f(2x+1) = 3f(x) + 5 for any real xx .

    Dataset text AI-MO AoPS. Quoted with source.

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