Set the radicand in <math><mstyle displaystyle="true"><msqrt><mn>6</mn><mo>-</mo><mi>x</mi></msqrt></mstyle></math> greater than or equal to <math><mstyle displaystyle="true"><mn>0</mn></mstyle></math> to find where the expression is defined.

Subtract <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> from both sides of the inequality.

Multiply each term in <math><mstyle displaystyle="true"><mo>-</mo><mi>x</mi><mo>≥</mo><mo>-</mo><mn>6</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math>

Multiply each term in <math><mstyle displaystyle="true"><mo>-</mo><mi>x</mi><mo>≥</mo><mo>-</mo><mn>6</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

Multiply <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mi>x</mi><mo>)</mo></mrow><mo>⋅</mo><mo>-</mo><mn>1</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> .

The domain is all values of <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> that make the expression defined.

Interval Notation:

Set-Builder Notation:

The range of an even indexed radical starts at its starting point <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>6</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></mstyle></math> and extends to infinity.

Interval Notation:

Set-Builder Notation:

Determine the domain and range.

Domain: <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mi>∞</mi><mo>,</mo><mn>6</mn><mo>]</mo></mrow><mo>,</mo><mrow><mo>{</mo><mi>x</mi><mo>|</mo><mi>x</mi><mo>≤</mo><mn>6</mn><mo>}</mo></mrow></mstyle></math>

Range: <math><mstyle displaystyle="true"><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mi>∞</mi><mo>)</mo></mrow><mo>,</mo><mrow><mo>{</mo><mi>y</mi><mo>|</mo><mi>y</mi><mo>≥</mo><mn>0</mn><mo>}</mo></mrow></mstyle></math>

Do you know how to Find the Domain and Range f(x) = square root of 6-x? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

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

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

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

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

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

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

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

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

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