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The map \phi : 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 Q is an isomorphism mapping a. (Q. +) onto (Q, *), b. (Q, *) onto (Q, +). c. (Q. •) onto (Q, *), d. (Q, *) onto (Q, •). In each case, give the identity element for * on Q.