Let G be the interval (2/3, ∞). Let ¤ be the operation on G such that, for all x, y ∈ G, x ¤ y = 3xy - 2(x+y) + 2. Write down the identity element e for (G, ¤). You don't need to write a proof of the identity law. Prove the inverse law for (G, ¤).