Mutually inverse functions
Let f map each x in a set X to y=f(x). If distinct x go to distinct y (the function is one-to-one on X), the inverse function f−1 sends y back to the original x.
Then f−1(f(x))=x and f(f−1(y))=y on the corresponding domains.
Graphs of y=f(x) and y=f−1(x) are symmetric about the line y=x.
Without injectivity the “inverse” is multivalued — restrict the domain (as with squaring and square root)
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