Let V be the set of real numbers, and for a, b real, a ≠ 0 let rₐᵦ :V + V defined by rₐᵦ(x) = ax + b. Let G = { rₐᵦ | a, b real, a≠0} and let N = {r₁ᵦ € G}. Prove that N is a normal subgroup of G and that GN group of nonzero real numbers under multi- plication.