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A function has an inverse if and only if it is _____.

Sagot :

Answer:

A function has a two-sided inverse if and only if it is bijective. ... f is surjective, so it has a right inverse. By the above, the left and right inverse are the same. If f has a two-sided inverse g, then g is a left inverse and right inverse of f, so f is injective and surjective