Here are the steps required for Finding the Domain of a Square Root Function:

 Step 1: Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero. Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol. Step 3: Write the answer using interval notation.

Example 1 – Find the Domain of the Function:

 Step 1: Set the expression inside the square root greater than or equal to zero. Step 2: Solve the equation found in step 1. Step 3: Write the answer using interval notation.

Example 2 – Find the Domain of the Function:

 Step 1: Set the expression inside the square root greater than or equal to zero. Step 2: Solve the equation found in step 1. Step 3: Write the answer using interval notation.

Example 3 – Find the Domain of the Function:

 Step 1: Set the expression inside the square root greater than or equal to zero. Step 2: Solve the equation found in step 1. In this case, we divided by a negative number, so had to reverse the direction of the inequality symbol. Step 3: Write the answer using interval notation.

Example 4 – Find the Domain of the Function:

 Step 1: Set the expression inside the square root greater than or equal to zero. Step 2: Solve the equation found in step 1. Step 3: Write the answer using interval notation.

Example 5 – Find the Domain of the Function:

 Step 1: Set the expression inside the square root greater than or equal to zero. Step 2: Solve the equation found in step 1. In this case, we divided by a negative number, so had to reverse the direction of the inequality symbol. Step 3: Write the answer using interval notation.