∅∅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.