# Find the Domain f(x)=sec(2x)

Find the Domain f(x)=sec(2x)
Set the argument in equal to to find where the expression is undefined.
, for any integer
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Multiply .
Multiply and .
Multiply by .
The domain is all values of that make the expression defined.
Set-Builder Notation:
, for any integer
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### Name

Name one billion nine hundred fifty-three million seventy-six thousand eight hundred sixty-seven

### Interesting facts

• 1953076867 has 8 divisors, whose sum is 2265403136
• The reverse of 1953076867 is 7686703591
• Previous prime number is 67

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 52
• Digital Root 7

### Name

Name one hundred ninety-eight million two hundred seventy-seven thousand nine hundred ninety-two

### Interesting facts

• 198277992 has 128 divisors, whose sum is 821664000
• The reverse of 198277992 is 299772891
• Previous prime number is 79

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 54
• Digital Root 9

### Name

Name eight hundred seventeen million eight hundred twelve thousand one hundred thirteen

### Interesting facts

• 817812113 has 4 divisors, whose sum is 818039280
• The reverse of 817812113 is 311218718
• Previous prime number is 3659

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 32
• Digital Root 5