Answer:
Option 3.
Step-by-step explanation:
The given relation is
A= {(3,2), (5,3), (6,2), (7,4)}
A relation is called a function, if there exist a unique value of y for each value of x.
In relation A, there exist unique output for each input. So, A is a function.
If a relation is defined as R = {(a,b), a∈R,b∈R}, then inverse of R is
R⁻¹ = {(b,a), a∈R,b∈R}
So, inverse of A is defined as
A⁻¹= {(2,3), (3,5), (2,6), (4,7)}
Here, the value of y are 3 and 6 at x=2.
For x=2, there exist more than one output. So, A⁻¹ is not a function.
Therefore, the correct option is 3.
