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Thread: Function equation, two unknown functions of x

  1. #1
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    Function equation, two unknown functions of x

    Hi there. I didn't know where to post this, so I postet it here.

    Two functions $\displaystyle f(x)$ and $\displaystyle g(x)$ are such that

    $\displaystyle f(g(x))^{-1}=\frac{f(x)}{2x}$

    $\displaystyle g(f(x))=2\cdot f(g(x))$

    I don't know how to get startet with this. Can someone please help me?

    Thanks in advance.
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  2. #2
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    What are the instructions? What are you to do with problem?
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  3. #3
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    The objective is to find the two functions.
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