A14. Show your steps and process for computational questions. For proofs, be sure to write in complete sentences and state assumptions at the beginning of your proof.

14. Let G be the set of all rational numbers except -1 (i.e. G=Q{1} ) and define the operation on G by ab=ab+a+b. a.) Prove that G is a group with respect to the operation *. b.) Prove that the map :QG defined by (a)=a1 is an isomorphism between the group of nonzero rational numbers in Q under multiplication and G