Rotation of 180° clockwise change the coordinates from (x,y) to (-x,-y).
If the image point has the coordinates (3,-5).
It means (-x,-y) = (3,-5)
[tex] - x = 3 \: \: and \: \: - y = - 5 \\ x = - 3 \: \: and \: \: y = 5[/tex]
So pre-image point was (x,y) = (-3,5)
Hence, option C i.e. (-3,5) is the final answer.