I have found some solutions, but nothing general. The solutions are $f=g; f = g^{-1}; f(x)=x; f(x)=ax, g(x)=bx,$ for any $a$ and $b;$ I am unable to find any solutions other than these, or to prove that none exist.
2026-03-27 23:14:22.1774653262
What conditions must apply for functions $f$ and $g,$ so that $f(g) = g(f)?$
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