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Math Help - Help! I need help with a homework problem!

  1. #1
    CherryBlossom
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    Help! I need help with a homework problem!

    f(x)=2x+14/x2+7 I need to write in simplified form and list all restrictions on the domain
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by CherryBlossom
    f(x)=2x+14/x2+7 I need to write in simplified form and list all restrictions on the domain
    Hello,

    there are three possible ways to read your equation. Which one was meant, I don't know:

    1. f(x)=2x+\frac{14}{x^2}+7=\frac{2x^3+7x^2+14}{x^2},  \ x\in \mathbb{R} \setminus {0} because the division by zero (0) is not allowed.

    2. f(x)=2x+\frac{14}{x^2+7}=\frac{2x^3+14x+14}{x^2+7}  ,\ x\in \mathbb{R} because x^2+7\geq 0, that means: no restrictions.

    3. f(x)=\frac{2x+14}{x^2+7},\ x\in \mathbb{R} because x^2+7\geq 0, that means: no restrictions.

    Greetings

    EB
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