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 one billion six hundred sixty-three million five hundred eight thousand seven hundred eight

Interesting facts

  • 1663508708 has 32 divisors, whose sum is 3786124680
  • The reverse of 1663508708 is 8078053661
  • Previous prime number is 389

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 44
  • Digital Root 8

Name

Name one billion one hundred thirteen million seven hundred thirty-six thousand two hundred eighty-four

Interesting facts

  • 1113736284 has 16 divisors, whose sum is 2598718248
  • The reverse of 1113736284 is 4826373111
  • Previous prime number is 27

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 36
  • Digital Root 9

Name

Name six hundred eighty-four million eighty-four thousand six hundred twenty-five

Interesting facts

  • 684084625 has 16 divisors, whose sum is 939502080
  • The reverse of 684084625 is 526480486
  • Previous prime number is 725

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 43
  • Digital Root 7