*****Update*****: The solution is posted here.

…

I don’t post nearly enough about teaching high school math (my day job) on this page. And since I’m giving more public talks about education these days, might as well write about it here, too

Last month, after some of my honors’ students learned about composite functions, I put together this extra credit problem (PDF). Because I’m evil.

No cheating. Can you solve it?

If you do, please don’t put your solution in the comments! (But feel free to leave the Secret Word there.)

And then stand in awe of all the sophomores and juniors who did it pretty soon after it was assigned…