Set the radicand in greater than or equal to to find where the expression is defined.

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:

Find the Domain and Range f(x) = square root of 7-x