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nthenic_oftime

  • one year ago

Find the vertical asymptotes, if any, of the graph of the rational function. f(x) = x/x^2+1 so for this one id set x^2+1 = 0 and the x=1? @jhannybean A. X=1 B. X=-1 C.X=-1, X=1 D. no vertical asymptotes its A correct?

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  1. Jhannybean
    • one year ago
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    \[x^2+1=0 \qquad x^2 = -1 \implies \text{no asymptotes}\] There are no real values that satisfy x

  2. Jhannybean
    • one year ago
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    no vertical asymptotes*

  3. Jhannybean
    • one year ago
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    \\[x^2=-1 \qquad x = \pm \sqrt{-1} = \pm i\]

  4. nthenic_oftime
    • one year ago
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    :)

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