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How to find $ f(x)$ if $f(1-f(x))=x$ for all $x$ $\in \mathbb{R}$

Discussion in 'Mathematics' started by John Doe, Oct 8, 2018.

  1. John Doe

    John Doe Guest

    How can I determine $ f(x)$ if $f(1-f(x))=x$ for all real $x$? I have already recognized one problem caused from this: it follows that $ f(f(x))=1-x $, which is discontinuous. So how can I construct a function $f(x)$?

    Best regards and thanks, John

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