Consider the below figure attached with this question.
Given:
The transformation is:
The range is (4,-2), (2, −5), (−6, 4).
To find:
The domain of the transformation.
Solution:
We have,
For the point (4,-2),
On comparing both sides, we get
And,
So, the domain of (4,-2) is (-2,1).
Similarly,
For the point (2,-5),
On comparing both sides, we get . So, the domain of (2,-5) is (-1,2).
For the point (-6,4),
On comparing both sides, we get . So, the domain of (-6,4) is (3,-1).
So, the domain of the given transformation is (-2, 1), (-1, 2), (3, -1).
Therefore, the correct option is A.
