Are there functions(or category of functions) S and U such that
$S(T(U(k))) = T(k)$ for any function T where
$S(T(U(k))) \neq U(T(S(k)))$ and, S and U are not identity functions i.e $S(x) \neq x$ and $U(x) \neq x$.
2026-02-22 22:01:41.1771797701
Are there functions (or category of functions) that satisfy following conditions?
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No. Assume that $S(x) \ne x$ for some specific value $x$, and take $T$ to be the constant function $T \equiv x$