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Math Help - Functions problem

  1. #1
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    Functions 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
    Attached Thumbnails Attached Thumbnails Functions problem-capture.png  
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  2. #2
    A Plied Mathematician
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    Re: 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.
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  3. #3
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    Re: Functions problem

    Wow that makes things much simpler!

    I got 125, is that correct?
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  4. #4
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    Re: Functions problem

    Quote Originally Posted by jgv115 View Post
    Wow that makes things much simpler!

    I got 125, is that correct?
    That's what I get.
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  5. #5
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    Re: Functions problem

    Yay! If only I knew that on the actually exam. Haha!

    Anyway, thanks a lot Ackbeet!
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  6. #6
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    Re: Functions problem

    You're very welcome. Have a good one!
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