we have given that [tex] G(x,y)=(2,2),(3,5),(4,9), and (5,13) [/tex]
we need to find inverse of [tex] G(x,y)=G(y,x) [/tex]
it means we need to interchange x and y co ordinates.
[tex] G(y,x)=(2,2)(5,3),(9,4) and (13,5) [/tex]
from this we have (2,2) is existing in both [tex] G(x,y) and G (y,x) [/tex]
so [tex] (2,2) [/tex] is the ordered pair in G and G inverse.