Find Where Undefined/Discontinuous tan(3x-2)^2

Find Where Undefined/Discontinuous tan(3x-2)^2
Set the argument in equal to to find where the expression is undefined.
, for any integer
Solve for .
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Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Multiply .
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Multiply and .
Multiply by .
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 .
Set-Builder Notation:
, for any integer
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Name

Name two billion thirty-three million four hundred twelve thousand eight hundred thirty-one

Interesting facts

  • 2033412831 has 8 divisors, whose sum is 2262278160
  • The reverse of 2033412831 is 1382143302
  • Previous prime number is 773

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 27
  • Digital Root 9

Name

Name eight hundred thirty-one million six hundred twenty-eight thousand seven hundred ninety-nine

Interesting facts

  • 831628799 has 8 divisors, whose sum is 851351760
  • The reverse of 831628799 is 997826138
  • Previous prime number is 139

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 53
  • Digital Root 8

Name

Name one billion one hundred eighty-six million three hundred twenty-nine thousand two hundred thirty

Interesting facts

  • 1186329230 has 8 divisors, whose sum is 2135392632
  • The reverse of 1186329230 is 0329236811
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 35
  • Digital Root 8