Determine whether the following relations are injective and/or subjective function. Find universe of the functions if they exist. A = 1,2,3,4,5 B=1,2,3,4,5 R = (1,2),(2,3),(3,4),(4,5),(5,1)
The Answer to the Question
is below this banner.
Can't find a solution anywhere?
NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?
Get the Answers Now!You will get a detailed answer to your question or assignment in the shortest time possible.
Here's the Solution to this Question
Let
Let us determine whether the relation is an injective function. Since there are no different pairs with the same second coordinate, we conclude that the relation is an injective function.
Taking into account that we conclude that the relation is a surjective function.
It follows that the inverse of exists and it is equal to