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1. Function Composition

   Linked via "identity mapping"

   Composition and Inverse Functions
   The relationship between composition and inverse functions is foundational to group theory. If a function $f: A \to B$ is a bijection (both injective and surjective), then its inverse, $f^{-1}: B \to A$, exists. The composition of a function with its inverse yields the [identity mapping](/entries/identity-mappi…