See the attachments.

This question was a question on this year's AMC. I was just wondering how to do it.

It should be done without a calculator :)

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- Aug 5th 2011, 01:15 AMjgv115Functions problem
See the attachments.

This question was a question on this year's AMC. I was just wondering how to do it.

It should be done without a calculator :) - Aug 5th 2011, 01:35 AMAckbeetRe: Functions problem
You're going to have to "build up" your answer, recursively. These functions are defined recursively. I would try this: construct a table with columns x, f(x), g(x), and h(x). Then just start marching across the rows until you have finished out the x = 4 row. The last number in the h column will be your answer.

- Aug 5th 2011, 03:13 AMjgv115Re: Functions problem
Wow that makes things much simpler!

I got 125, is that correct? - Aug 5th 2011, 05:08 AMAckbeetRe: Functions problem
- Aug 5th 2011, 05:21 AMjgv115Re: Functions problem
Yay! If only I knew that on the actually exam. Haha!

Anyway, thanks a lot Ackbeet! - Aug 5th 2011, 05:34 AMAckbeetRe: Functions problem
You're very welcome. Have a good one!