An inverse function reverses the mapping of a given function, taking the output values back to their corresponding input values. If a function 'f' maps an element 'x' to 'y', then its inverse 'f^{-1}' will map 'y' back to 'x'. This relationship is key in understanding how functions operate, particularly in identifying whether a function can be inverted and how this relates to the concepts of injectivity and surjectivity.
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