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Proof: Composition of Injective Functions is Injective | Functions and Relations
Let g and f be injective (one to one) functions, where g maps A to B and f maps B to C. Then the composition fog, which maps A to C, is also injective. We'll prove this result about injective functions and their compositions in today's lesson! The proof is very straightforward, and merely requires us to apply the definition of injective ...
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