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anonymous

  • one year ago

State the vertical asymptote of the rational function. f(x) = quantity x minus six times quantity x plus six divided by quantity x squared minus nine.

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  1. anonymous
    • one year ago
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    |dw:1438716502041:dw|

  2. DanJS
    • one year ago
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    where is the function not defined

  3. anonymous
    • one year ago
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    what do you mean?

  4. DanJS
    • one year ago
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    for instance, f(x) is not defined if the denominator is zero

  5. DanJS
    • one year ago
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    so in this case, the roots of the denominator will be vertical asmy..

  6. anonymous
    • one year ago
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    then is it not defined at 3?

  7. anonymous
    • one year ago
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    so would the answer be x=3 and x=-3

  8. anonymous
    • one year ago
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    Hi

  9. DanJS
    • one year ago
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    yes, you can look at the limits as x approaches those values to see what the graph is doing.. going to infinity

  10. anonymous
    • one year ago
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    okay thank you so much!!

  11. DanJS
    • one year ago
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    welcome

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