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Prove or provide a counterexample to the following statement: if f : A → B and g : B → C are functions such that go f is onto, then f is onto.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Proficiency #16. [Compositions of Functions]
Prove or provide a counterexample to the following statement: if f : A → B and g : B →
C are functions such that gof is onto, then f is onto.

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