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I'm the reader that made the suggestion. I based it on how the process of inverting a function was taught in the Blitzer's textbook, Algebra and Trigonometry, 5th Edition, and in MyMathLab, and finally because, in these days that we can teach students to graph both functions on a graphing calculator, not all calculators are able to graph inverse function, x in terms of y.
On the TI-84 Plus series of calculators, I can only graph (X = constant) functions. I cannot graph (X = Y²).
Anyway, as I went through those problems, I did the work f(x) and f-¹(x) so that I did not have to manually graph a y=x equation, then swap the axes to see the inverse.
It may be that the major textbooks are changing to emphasizing f-¹(x) because of the advent of graphing calculators in the last decade (or however long it's been) that cannot graph f-¹(y). (I have only tested this on the TI-84 Plus C Silver Edition and on the TI-84 Plus CE. I have not checked to see if my HP Prime can graph x=y equations.
P.S. Hi, Ganesh, if you are the Ganesh in India that I share puzzles with.
John
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