If (a, b) = f, then (b, a)= f^-1. The claim has been made that the graph of the inverse of a function is the mirror image of the function, reflected in the line y = x. To prove this you must
a) Show that the line that passes through the points (a, b) and (b, a) intersect the line y = x at a right angle.
b) Show that the distances between each point and the line y = x are the same. (To do this you might have to determine the point of intersection of the line passing though (a, b) and (b, a) and the line y = x).
Please help! I know that you can't really graph it on here, but it'd be so much help if you explained what the question means and how to solve it. I really don't understand it, so any sort of help would be really appreciated. Thanks!