Let f, g : R → R be continuous at 0. Using only the e – 8 property(Ross,Theorem 17.2), prove that the function 4f – 5g is continuous at 0.(You are notallowed to use any theorems about the continuity of sums or products, such asRoss 17.3, 17.4).

Answered: Image /qna-images/answer/38e9b4d7-c015-4745-aa3f-3de0304f96f3.jpg

Answered: Let f, g : R → R be continuous at 0.…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...

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Let f, g : R → R be continuous at 0. Using only the e – 8 property(Ross, Theorem 17.2), prove that the function 4f – 5g is continuous at 0.(You are not allowed to use any theorems about the continuity of sums or products, such as Ross 17.3, 17.4).