Question: The map : Q Q defined by (x) = 3x - 1 for x Q is one to one and onto Q. Give

∅∅The map ∅: Q → Q defined by ∅(x) = 3x - 1 for x ∈ Q is one to one and onto Q. Give the definition of a binary operation * on Q such that ∅ is an isomorphism mapping
a. (Q, •) onto (Q, *),

b. (Q, *) onto (Q, •).
In each case, give the identity element for * on (Q.

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