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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