Assume $f\colon\mathbb{R}\to\mathbb{R}$ satisfies $f(x-f(x))=f(x)$ and:
1) has the intermediate value property
or
2) is continuous.
Does $f$ have to be constant?
2026-04-01 07:55:50.1775030150
property of functions satisfying $f(x-f(x))=f(x)$
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