After some FANTASTIC discussion of inverses on twitter (thank you all, you’re the best!), I decided to take the following approach:
- Introduce inverse functions by “undoing” the original function. This has an eventual ending point, as not all functions are easily undone this way (f(x) = (x+1)/(x-2) for example).
- After much practice, then build in the “switch x and y” and solve for y method.
Hopefully their thought pathways for inverses are built up enough so that the procedure change doesn’t mess up the previous understanding.