A set G with elements u,v,w... is a Group if the following conditions are fulfilled:
(i) There is a binary operation ∘ defined on G such that ∀{u,v}∈G there is a w∈G with u∘v=w.
(ii) This operation is associative; i.e. (u∘v)∘w=u∘(v∘w) ∀{u,v,w}∈G.
(iii) ∀{u,v}∈G, there exists an element x∈G such that u∘x=v, and an element y∈G such that y∘u=v.Let K be a set of all real numbers greater than 1. On K is defined an operation by a∘b=ab−(a2−1)(b2−1). Prove that K is a Group. functionsuperior algebrasuperior algebra unsolved