Let E = { a, b, c, d, e, f, g. h}. Let the binary operation . on E be defined by C d e f 9 h a a a a 3 C d e h C e 9 a C e g d g b e h C f a e a e a e C h e b g d g a e C a e C g f e d C b Complete the following: (1) In the set E with respect to the operation . the identity element is b (2) Find the inverses of the elements of E with respect to . . If an element does not have an inverse answer 'none'. The inverse of a is The inverse of b is The inverse of c is The inverse of d is The inverse of e is The inverse of f is The inverse of g is The inverse of h is