On Solving the Equation f(x) = f[superscript -1](x)

Learners are all different and teachers are all different, so why do we often ignore this reality when trying to explain, or demystify, some aspect of mathematics in the classroom? Enabling learning can be challenging, demanding of creativity, and needy of alternatives if understanding is the real goal. Here the authors offer ideas that are aimed at improving the experience for the learner by making links for the teacher. If you have seen it "all before", then take comfort in the fact that you "got there first", but it might just give you a sense of satisfaction that others have also "arrived". (Contains 4 figures.)