# 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 .
Factor using the AC method.
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.
Set the first factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
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