Find the Domain and Range f(x) = square root of 6-x

Find the Domain and Range f(x) = square root of 6-x
Set the radicand in greater than or equal to to find where the expression is defined.
Solve for .
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Subtract from both sides of the inequality.
Multiply each term in by
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Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Multiply .
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Multiply by .
Multiply by .
Multiply by .
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
The range of an even indexed radical starts at its starting point and extends to infinity.
Interval Notation:
Set-Builder Notation:
Determine the domain and range.
Domain:
Range:
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Name

Name two billion one hundred thirty-nine million six hundred thousand seven hundred thirty-nine

Interesting facts

  • 2139600739 has 8 divisors, whose sum is 2326688928
  • The reverse of 2139600739 is 9370069312
  • Previous prime number is 37

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 40
  • Digital Root 4

Name

Name one billion eight hundred eighty-two million three hundred sixty-nine thousand eighty-four

Interesting facts

  • 1882369084 has 16 divisors, whose sum is 4235737896
  • The reverse of 1882369084 is 4809632881
  • Previous prime number is 16171

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 49
  • Digital Root 4

Name

Name one billion five hundred fifty-one million seven hundred thirty-four thousand four hundred eighty-four

Interesting facts

  • 1551734484 has 32 divisors, whose sum is 4900214880
  • The reverse of 1551734484 is 4844371551
  • Previous prime number is 19

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6