What are the coordinates of the image produced by applying the composition r0,-270*r0,-90 to the point (–5, 4)?

(- 5, 4)

Justification:

The question asks for the coordinates of the image produced by the composed rotation - 270° o - 90° to the point (-5,4);  that means applying a first rotation of - 90° and a second rotation of - 270°.

That composition of rotation is equivalent to one rotation of (- 270°) + (-90°) =  - 360°.

A rotation of - 360° means 360° clockwise; that is a complete turn, to lead the original point to itself.

Then, the image of  the point (- 5, 4) is the same point ( - 5,4)