Answer:
The complete statement is [tex](R_{y-axis} \circ R_{y=x}) (2, 3) = (-3, 2)[/tex]
Step-by-step explanation:
Given that we have a composition transformation where the operation R stands for reflection, we are to start from the right operation then we work on the left as follows
[tex](R_{y-axis} \circ R_{y=x}) (2, 3)[/tex]
The reflection of a point (x, y) cross the line y = x is (y, x)
Therefore, when (2, 3) is reflected across the line y = x it becomes (3, 2)
The next operation, which is the reflection across the line y = x is then found as follows;
The reflection of a point (x, y) cross the y-axis is (-x, y)
Therefore, when (3, 2) is reflected across the y-axis it becomes (-3, 2)
Therefore, the complete statement is [tex](R_{y-axis} \circ R_{y=x}) (2, 3) = (-3, 2)[/tex]
