5. Let f : R → R. Prove that f is continuous on R + f-(H) is a closed set whenever H is a closed set. Answer:

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 5E: Let f:AA, where A is nonempty. Prove that f a has right inverse if and only if f(f1(T))=T for every...
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5. Let f : R → R. Prove that f is continuous on R
f-1(H) is a closed set whenever H is a closed
set.
Answer:
Transcribed Image Text:5. Let f : R → R. Prove that f is continuous on R f-1(H) is a closed set whenever H is a closed set. Answer:
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