# Find the Domain f(x)=3/(x^2-2x-15)

Set the denominator in equal to to find where the expression is undefined.

Factor using the AC method.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Set equal to and solve for .

Set the factor equal to .

Add to both sides of the equation.

Set equal to and solve for .

Set the factor equal to .

Subtract from both sides of the equation.

The solution is the result of and .

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

Interval Notation:

Set-Builder Notation:

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