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Math Help - Vertical and Horizontal Asymptotes

  1. #1
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    Vertical and Horizontal Asymptotes

    for the function
    f(x) = \frac {x+5} {2x-4}
    find the vertical and horizontal asymptotes

    I know what an asymptote is but I'm not sure how I'm suppose to find it....any help is appreciated!
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  2. #2
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    Quote Originally Posted by bearhug View Post
    for the function
    f(x) = \frac {x+5} {2x-4}
    find the vertical and horizontal asymptotes

    I know what an asymptote is but I'm not sure how I'm suppose to find it....any help is appreciated!

    y = \frac {x+5} {2x-4}

    we can see that 2x-4=0 , ie x=2 makes the function undefined . Thus , it's a vertical asymtote .

    Horizontal aymtotes occur when y=\lim_{x\rightarrow\infty}f(x) is finite .

    y=\lim_{x\rightarrow\infty}\frac{\frac{x}{x}+\frac  {5}{x}}{\frac{2x}{x}-\frac{4}{x}}

    y=?? will be the horizontal asymtote
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  3. #3
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    y=0.5?
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  4. #4
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    Quote Originally Posted by bearhug View Post
    y=0.5?

    yup
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