Fill in the blanks. If a function is one-to-one then its inverse will be _____________. If a function is NOT one-to-one then its inverse will _______________________. *

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Answer:

Inverse functions Inverse Functions If f is a one-to-one function with domain A and range B, we can de ne an inverse function f 1 (with domain B ) by the rule f 1(y) = x if and only if f(x) = y: This is a sound de nition of a function, precisely because each value of y in the domain of f 1 has exactly one x in A associated to it by the rule y = f(x).

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