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Inverse function

A one-to-one function f with domain A and range B has an inverse function that is defined by f −1 with domain B and range A, so

f  − 1(x) = x          ⇔          (x) = y

for any y in B.

 


Explanation

If f were not one-to-one, then f −1 would not be uniquely defined.

 


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