Is there any branch of constructing inverse function exist that

ntaraxq 2022-07-12 Answered
Is there any branch of constructing inverse function exist that is inverse of n functions?
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Answers (1)

ladaroh
Answered 2022-07-13 Author has 11 answers
Let f i   ( i I ) be functions with domain D i   ( i I ) for a set I, s.t. the sets D i are pairwise disjoint. Then you can construct a function f s.t. f | D i = f i   ( i I ). If f is bijective, an inverse function f 1 exists.
It then holds that f 1 | f i ( D i ) = f i 1 .

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