SOLUTION: Find all coterminal angles between 0 degrees and 360 degrees whose terminal side lies on the axis of symmetry line for inverse function y=4x+8 and y=(1/4)x-2.

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Question 576245: Find all coterminal angles between 0 degrees and 360 degrees whose terminal side lies on the axis of symmetry line for inverse function y=4x+8 and y=(1/4)x-2.
Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website!
Very strange question.
The line of symmetry for one function and its inverse is y=x.
When you find the inverse you are exchanging x for y. What you are doing is flipping the graph while keeping fixed the y=x line (the diagonal bisecting the first and third quadrants). Of course, you need your graph on a see-through paper or other transparent medium so that you can see it after you flip.
It does not matter what function you use, the graph of the inverse is the flipped graph of the original function.
So the problem wants angles in standard position (intial side on the positive x axis) that have the terminal side on that line.
It's going to be the 45 degree angle in the first quadrant and the 225 degree angle (180+45=225) on the other half of the line, in the third quadrant.