Set the denominator in <math><mstyle displaystyle="true"><mfrac><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mrow><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>-</mo><mn>12</mn><mi>x</mi><mo>+</mo><mn>27</mn></mrow></mfrac></mstyle></math> equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> to find where the expression is undefined.

Factor <math><mstyle displaystyle="true"><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>-</mo><mn>12</mn><mi>x</mi><mo>+</mo><mn>27</mn></mstyle></math> using the AC method.

Consider the form <math><mstyle displaystyle="true"><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mi>b</mi><mi>x</mi><mo>+</mo><mi>c</mi></mstyle></math> . Find a pair of integers whose product is <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> and whose sum is <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> . In this case, whose product is <math><mstyle displaystyle="true"><mn>27</mn></mstyle></math> and whose sum is <math><mstyle displaystyle="true"><mo>-</mo><mn>12</mn></mstyle></math> .

Write the factored form using these integers.

If any individual factor on the left side of the equation is equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> , the entire expression will be equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

Set the first factor equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and solve.

Set the first factor equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>9</mn></mstyle></math> to both sides of the equation.

Set the next factor equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> and solve.

Set the next factor equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> to both sides of the equation.

The final solution is all the values that make <math><mstyle displaystyle="true"><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mn>9</mn><mo>)</mo></mrow><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mn>3</mn><mo>)</mo></mrow><mo>=</mo><mn>0</mn></mstyle></math> true.

The equation is undefined where the denominator equals <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> , the argument of a square root is less than <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> , or the argument of a logarithm is less than or equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> .

Do you know how to Find Where Undefined/Discontinuous y=(x-3)/(x^2-12x+27)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | one billion eight hundred eighty-two million seven hundred eight thousand three hundred eighty |
---|

- 1882708380 has 32 divisors, whose sum is
**4846441248** - The reverse of 1882708380 is
**0838072881** - Previous prime number is
**7**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 45
- Digital Root 9

Name | one billion four hundred seventy-eight million two hundred six thousand two |
---|

- 1478206002 has 64 divisors, whose sum is
**3643121664** - The reverse of 1478206002 is
**2006028741** - Previous prime number is
**1447**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 30
- Digital Root 3

Name | one billion two hundred fifty-three million nine hundred two thousand four hundred sixteen |
---|

- 1253902416 has 128 divisors, whose sum is
**6853377600** - The reverse of 1253902416 is
**6142093521** - Previous prime number is
**19**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 33
- Digital Root 6