The sequence of transformations R0,90 r x-axis is applied to XYZ to produce X’’ Y’’ Z’’. If the coordinates of Y’’ are (3,0),what are the coordinates of Y?

Y = (0, 3)

Step-by-step explanation:

Notice that the first the transformation is a rotation of 90 degrees around the origin, and then a reflection around the x axis.

If a reflection around the x axis resulted in (3, 0)  that means the point was already on the x axis.

Then in order for a rotation in 90 degrees to take the point Y to (3, 0), Y must have been on the y-axis as (0, 3)