Find Where Undefined/Discontinuous y=(x-3)/(x^2-12x+27)

Find Where Undefined/Discontinuous y=(x-3)/(x^2-12x+27)
Set the denominator in equal to to find where the expression is undefined.
Solve for .
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Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
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Set the first factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
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Set the next factor equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
The equation is undefined where the denominator equals , the argument of a square root is less than , or the argument of a logarithm is less than or equal to .
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Name

Name one billion eighteen million nine hundred thirty thousand one hundred ninety-five

Interesting facts

  • 1018930195 has 4 divisors, whose sum is 1019049984
  • The reverse of 1018930195 is 5910398101
  • Previous prime number is 9215

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1

Name

Name one billion eight hundred eighty-two million one hundred two thousand four hundred sixty-nine

Interesting facts

  • 1882102469 has 8 divisors, whose sum is 1901404440
  • The reverse of 1882102469 is 9642012881
  • Previous prime number is 233

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5

Name

Name seven hundred eighty-five million forty-five thousand four hundred thirty-eight

Interesting facts

  • 785045438 has 8 divisors, whose sum is 1194153840
  • The reverse of 785045438 is 834540587
  • Previous prime number is 71

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 44
  • Digital Root 8