Determine if each of the following formulas gives a well-defined function on the stated domain an...
Determine if each of the following formulas gives a well-defined function on the stated domain and codomain. Justify your answer.
(b) g : Q → Q, g(p/ q) = (p^2 + 2pq + q^2)/q^2 .
(c) h : Z8 → Z8, h ([x]8) = [5x + 3]8.
(d) j : Z8 → Z6, j ([x]8) = [x]6.
(e) k : Z6 → Z12, k ([x]6) = [2x + 1]12
with [ ] meaning modular arithmetic, Z being integers and Q being rational numbers
Homework Answers
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Determine if each of the following formulas gives a well-defined function on the stated domain an...
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