Question

Find the inverse of the given relation.

{ (3,1),(3,1),(7,-7),(12,-15) }

A.{ (1,3),(3,1),(-7,7),(12,-15) }
B.{ (1,3),(1,3),(-7,7),(-15,12) }
C.{ (1,3),(1,3),(-7,-7),(-15,12) }
D.{ (1,3),(-1,-3),(-7,7),(-15,12) }

Answer 1

The answer is B.

Explanation:

To obtain the inverse of a relation you simply interchange the x and y coordinates of each pair.

Here:

(3,1) becomes (1,3)

(3,1) becomes ((1,3)

(7, -7) becomes (-7,7) and

(12, -15) becomes (-15, 12)