inverse function command

[Joe Horn]

How do you teach a student to find the inverse function of y=f(x) by hand? Isn't it by solving that equation for x (that is, isolating x on one side of the equation)? And it teaches what an inverse function IS, and exercises the student's algebraic skills. After learning it that way, using SOLVE to find inverse functions would come naturally.

That seems far more educational than telling the student, "just press the InverseFunction key; it lets you get the answer without requiring you to understand what inverse functions are, or anything else for that matter."

Disclaimer: The above was my opinion when I wrote it, but might no longer be my opinion by time you read it. I reserve the right to keep learning and to adjust my opinions accordingly.