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Math Help - Combining Functions

  1. #1
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    Combining Functions

    f(x) = x + \frac{1}{x^2}
    g(x) = \frac{1}{x}

    I need to do (fog)(x) and (gof)(x).
    I'm not getting the correct answers...I really have problems simplifying. Thanks in advanced!
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  2. #2
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    For (fog)(x), take g and SHOVE IT INTO f, like this

    (fog)(x) = ((1/x) +1/((1/x)^2)

    For (gof)(x), take F and SHOVE IT INTO g, like this

    (gof)(x) = 1/(x+1/x^2)
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  3. #3
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    Thank you, I was doing the opposite. Yet I'm having problems solving (gof). I'm not getting the correct answer, and I'm sure it's to do with my lack of algebraic knowledge.
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