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Math Help - x axis symmetry

  1. #1
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    x axis symmetry

    is there any way to check the following function for x and y axis symmetry without graphing??

    g(x)=(1/X^2))+(5/x)+6
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  2. #2
    ynj
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    Quote Originally Posted by netbook View Post
    is there any way to check the following function for x and y axis symmetry without graphing??

    g(x)=(1/X^2))+(5/x)+6
    Let [tex]F(x,y)=0[\math] be a curve. Then it is x-axis symmetry iff F(x,y)=0\leftrightarrow F(x,-y)=0. It is y-axis symmetry iff F(x,y)=0\leftrightarrow F(-x,y)=0
    In this specific problem, you only have to check whether g(x)=g(-x) to judge whether it is y-axis symmetry. It is clearly impossible that it is x-axis symmetry because it is written in the form y=g(x)(except g(x)\equiv 0)
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