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In mathematics, particularly in the context of functions, a pre-image refers to the set of all inputs (or arguments) that map to a specific output under a given function. For a function ( f: X \to Y ) and an element ( y \in Y ), the pre-image of ( y ) is the set ( f^{-1}(y) = { x \in X \mid f(x) = y } ). Essentially, it identifies which elements from the domain correspond to a particular value in the codomain.

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Q: What is pre image?
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