Question 5:

|9+7

| Marks

|

|\ Let

\\\ ho

and

t

be two operations on

R

define for any

a,binR

by\

a@b=(3a+3b-1)/(3), and a+b=(ab)/(3)-1

\ i) Show that 0 has an identity in

R

. Find the inverse of 3 relative to 0 , if it exists.

Question 5: (9+7 Marks ) Let r and be two operations on R define for any a,bR by ab=33a+3b1andab=3ab1 i) Show that O has an identity in R. Find the inverse of 3 relative to 0 , if it exists