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anonymous

  • one year ago

Find all vertical asymptotes of (g/f)(x) g(x)= square root of x-15 (all under square root) f(x)=x^2-2x

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  1. Jhannybean
    • one year ago
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    \[\left(\frac{g}{f}\right)(x) = \frac{\sqrt{x-15}}{x^2-2x}\]Vertical asympttes tell you the restrictions to your functions. They are found by setting the denominator = 0. \[x^2-2x=0\]\[x(x-2)=0\]\[x=? \\ x-2=0 \iff x=~?\]

  2. anonymous
    • one year ago
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    x=0 and x=2? does the x under the square root matter at all? @Jhannybean

  3. Jhannybean
    • one year ago
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    No because if x = 15, then our function would = 0, which is perfectly ok.

  4. anonymous
    • one year ago
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    Thanks!

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