4. Define f: [0, 1] → R by if x E Qn [0, 1] if x ¢ Qn [0, 1] f(x) = (a) Prove that S° f = 0; s*f = (b) Prove that faf 2 .

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 24E
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4. Define f: [0, 1] → R by
if x € Qn [0, 1]
f(x) =
10 if z¢ Qn [0, 1]
(a) Prove that ff = 0;
La
(b) Prove that
Transcribed Image Text:4. Define f: [0, 1] → R by if x € Qn [0, 1] f(x) = 10 if z¢ Qn [0, 1] (a) Prove that ff = 0; La (b) Prove that
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