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 seven hundred eighty-three million nine hundred twenty-two thousand three hundred four

Interesting facts

• 783922304 has 512 divisors, whose sum is 14611714416
• The reverse of 783922304 is 403229387
• Previous prime number is 11

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 38
• Digital Root 2

Name

Name three hundred four million four hundred twenty-seven thousand eight hundred twenty-eight

Interesting facts

• 304427828 has 16 divisors, whose sum is 686512800
• The reverse of 304427828 is 828724403
• Previous prime number is 443

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 38
• Digital Root 2

Name

Name one billion eight hundred seventy-four million four hundred nineteen thousand nine hundred eighty

Interesting facts

• 1874419980 has 32 divisors, whose sum is 4523765760
• The reverse of 1874419980 is 0899144781
• Previous prime number is 179

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 51
• Digital Root 6