# Find the Domain square root of thirty-six minus four x to the power of two

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

Subtract from both sides of the inequality.

First, divide each term by and simplify.

Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

The common factor should be canceled of .

Cancel the common factor.

Divide by .

Divide by .

Take the square root of both sides of the inequality to eliminate the exponent on the left side.

The total solution is the sum of the solution's positive and negative components.

Clarify the right side of the equation.

Should be rewritten as .

Withdraw terms from under the radical, assuming positive real numbers.

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the to find the Initially solution.

Next, use the negative value of the To calculate the second answer. Since this is an inequality, flip the direction of the inequality sign on the portion of the solution.

The complete solution is the result of both the positive and negative portions of the solution.

and

Find the intersection.

The domain is all values of that make the expression defined.

Interval Notation:

Set-Builder Notation:

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