To find the location of point F after reflecting point f over the line x = -2 and then over the line y = 3, we can perform the reflections one by one.
First, reflecting over the line x = -2 will change the x-coordinate of point F to its opposite. Since the x-coordinate of point F is 5, the reflected x-coordinate will be -5.
Next, reflecting over the line y = 3 will change the y-coordinate of the reflected point F to its opposite. Since the y-coordinate of the reflected point F is 7, the final y-coordinate will be -7.
Therefore, the location of point F after the given reflections is (-5, -7), which corresponds to option A. So, the correct answer is A.) (-5, -7).