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

Subtract from both sides of the inequality.

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.

Add and .

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.

Add and .

Any root of is .

The final answer is .

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

Replace the variable with in the expression.

Simplify the result.

Add and .

The final answer is .

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

Graph y = square root of x+7