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:

Interval Notation:

Set-Builder Notation:

Replace the variable with in the expression.

Simplify the result.

Multiply by .

Subtract from .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

The final answer is .

The radical expression end point is .

Substitute the value into . In this case, the point is .

Replace the variable with in the expression.

Simplify the result.

Multiply by .

Add and .

The final answer is .

Substitute the value into . In this case, the point is .

Replace the variable with in the expression.

Simplify the result.

Multiply by .

Add and .

Any root of is .

The final answer is .

The square root can be graphed using the points around the vertex

Graph f(x) = square root of 1-x