SOLUTION: How would f^-1 look on a graph?

Here's an example of what it looks like:

Suppose the graph of  looks like this:



Then to draw its inverse we would begin by drawing the identity line
which is where y and x are identical, that is the line y = x, a line 
through the origin that rises at a 45° angle.  We'll draw it dotted,
in green:



Now we'll reflect that graph across the green identity line y = x, and get
this blue graph, y = f-1(x)



That's an example of what the graph of the inverse of a function y = f-1(x) looks 
like.  It's the reflection of the graph of y = f(x) across the identity line,
whose equation is y = x.

Notice that the red graph contains the point (1,-5) and the blue inverse
graph contains the point (-5,1).  All points are like that. If a point 
(a,b) in on the red graph, then the reversed point (b,a) will be on the blue
inverse graph, and vice-versa.

Edwin