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Math Help - Domain

  1. #1
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    Domain

    I need help help to expand the following function (so i can see the domain better)

    |x+2|*e^1/x


    This is the same as?


    Any help is apreciated.
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  2. #2
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    Re: Domain

    Note that \displaystyle |x + 2| = \begin{cases} x + 2\textrm{ if }x \geq 2 \\ -(x + 2) \textrm{ if }x < 2 \end{cases}.

    So \displaystyle |x + 2|e^{\frac{1}{x}} = \begin{cases} (x + 2)e^{\frac{1}{x}} \textrm{ if }x \geq 2 \\ -(x + 2)e^{\frac{1}{x}} \textrm{ if }x < 2 \end{cases}

    Now expand.
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