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 .
Subtract from both sides of the inequality.
Multiply each term in by
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 .
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 one billion six hundred fifty million seven hundred sixty-nine thousand one hundred sixty-eight

Interesting facts

• 1650769168 has 64 divisors, whose sum is 8361199728
• The reverse of 1650769168 is 8619670561
• Previous prime number is 2083

Basic properties

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

Name

Name one billion three hundred sixty-five million six hundred ten thousand six hundred eight

Interesting facts

• 1365610608 has 128 divisors, whose sum is 12290496768
• The reverse of 1365610608 is 8060165631
• Previous prime number is 3

Basic properties

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

Name

Name six hundred sixty-four million five hundred fifty thousand four hundred seventy

Interesting facts

• 664550470 has 16 divisors, whose sum is 1215801648
• The reverse of 664550470 is 074055466
• Previous prime number is 61

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 37
• Digital Root 1