7. Let f : N → R be given by -{: if x is divisible by 5 f(x) = 1/x if x is not divisible by 5 Find the following. (a) f({1,2,3,4,5,6,7})= (b) f-'([-5,5)) = (c) f-'({7}) (d) f-1 25 - (~#).s

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 3E: Find all monic irreducible polynomials of degree 2 over Z3.
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7. Let f :N →R be given by
if x is divisible by 5
f(x) =
1/x ifx is not divisible by 5
Find the following.
(a) f({1,2,3,4,5,6,7})=
(b) f-'([-5,5)) =
(c) f-'({7})
(d) f-l
- (-).s
Transcribed Image Text:7. Let f :N →R be given by if x is divisible by 5 f(x) = 1/x ifx is not divisible by 5 Find the following. (a) f({1,2,3,4,5,6,7})= (b) f-'([-5,5)) = (c) f-'({7}) (d) f-l - (-).s
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