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Math Help - Composition of Rational Functions

  1. #1
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    Composition of Rational Functions

    I'm given:

    If f(x) = \frac{1}{x} - \frac{x}{4}, then what is f( \frac{1}{4x})

    what's the procedure for solving this? For f( \frac{1}{4x}), do I just divide 1 by 4 times \frac{1}{x} - \frac{x}{4} ? I tried doing that and got the answer \frac{x}{(2-x)(2+x)}, but apparently that's not the answer. Can anyone work through this to show me the different stages of it?
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  2. #2
    Member anonimnystefy's Avatar
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    Re: Composition of Rational Functions

    in the formula of f(x) substitute every x with 1/4x.

    Spoiler:
    you should get: f(x)=\frac{1}{\frac{1}{4x}}-\frac{\frac{1}{4x}}{4}=4x-\frac{1}{16x}
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