Answered: Supposef:N→N and g:N→N are functions…

Supposef:N→N and g:N→N are functions such that f is not onto but f+g is onto. May we conclude that g is onto? Either give a counter-example or show that g is onto.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.3: Properties Of Composite Mappings (optional)

Problem 10E: Let g:AB and f:BC. Prove that f is onto if fg is onto.

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1. Supposef:N→N and g:N→N are functions such that f is not onto but f+g is onto. May we conclude that g is onto? Either give a counter-example or show that g is onto.

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Suppose f : N → N and g : N → N are functions such that f is not onto but f + g is onto. May weconclude that g is onto? Either give a counter-example or show that g is onto