anonymous
  • anonymous
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.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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DanJS
  • DanJS
where is the function not defined
anonymous
  • anonymous
what do you mean?

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DanJS
  • DanJS
for instance, f(x) is not defined if the denominator is zero
DanJS
  • DanJS
so in this case, the roots of the denominator will be vertical asmy..
anonymous
  • anonymous
then is it not defined at 3?
anonymous
  • anonymous
so would the answer be x=3 and x=-3
anonymous
  • anonymous
Hi
DanJS
  • DanJS
yes, you can look at the limits as x approaches those values to see what the graph is doing.. going to infinity
anonymous
  • anonymous
okay thank you so much!!
DanJS
  • DanJS
welcome

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