If , then the number of solutions of the equation…

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

If f(x)=2x−1f(x)=2x-1, then the number of solutions of the equation ∣f(x)∣=∣f(∣x∣−1)∣\lvert f(x)\rvert=\lvert f(\lvert x\rvert-1)\rvert is

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