# Find the Domain ( square root of x+2)÷( square root of 5-x)

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.
The solution consists of all of the true intervals.
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 solution consists of all of the true intervals.
Set the denominator in equal to to find where the expression is undefined.
Solve for .
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Raising to any positive power yields .
Solve for .
Subtract from both sides of the equation.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Multiply by .
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Find the Domain ( square root of x+2)÷( square root of 5-x)