Answer:
(a) {(3,4),(3,5), (6,8), (6,9),(9,12), (9,13)}
(b) The inverse relation is not a function
Step-by-step explanation:
Inverse Function
If a relation is given as a set of points (x,y), the inverse relation will have the same points with its coordinates switched.
The relation is given as the set:
{(4,3),(5,3), (8,6), (9,6),(12,9), (13,9)}
(a) The inverse relation is:
{(3,4),(3,5), (6,8), (6,9),(9,12), (9,13)}
(b)
A relation is a function if each element of the input set is related to one and only one element of the output set.
The inverse relation is not a function because several points don't meet the above condition. For example, (3,4) and (3,5) relate the element 3 with two elements.
