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A function g: Q→Q is defined by g(r)=4r+1 for each r∈Q.?
(a) Determine g(Z) and g(E), where E is the set of even integers.
(b) Determine g−1(N) and g−1(D), where D is the set of odd integers.
1 AnswerMathematics2 days agoThe function h: Z16 →Z24 is defined by h([a])=[3a] for all a∈Z?
(a) Prove that the function h is well-defined: prove that if [a] = [b] in Z16 then [3a] = [3b] in Z24.
(b) For the subsets A = {[0], [4], [8], [12]} and B = {[3], [6], [9], [15]} of Z16 determine the subsets h(A) and h(B) of Z24.
(c) For the subsets C = {[0], [6], [12], [18]} and D = {[4], [8], [16], [20]} of Z24 determine the subsets h−1(C) and h−1(D) of Z16.
Mathematics2 days agoGive an example of an equivalence relation R on the set A = {1, 2, 3, 4, 5, 6, 7} such that there are exactly 3 distinct equivalence classes?
I also need to list the distinct equivalence classes of R. Help?
1 AnswerMathematics1 week agoLet R be the relation defined on Z by aRb if a2 ≡ b2 (mod 3). Z is any rational number.?
I also need to prove that R is an equivalence relation & determine the distinct equivalence classes. Any help?
1 AnswerMathematics1 week agoAny tips for anxiety?
5 AnswersSingles & Dating5 years ago