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.

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set the first factor equal to and solve.

Set the first factor equal to .

Subtract from both sides of the equation.

Set the next factor equal to and solve.

Set the next factor equal to .

Subtract from both sides of the equation.

The final solution is all the values that make true.

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

Interval Notation:

Set-Builder Notation:

Since the domain is not all real numbers, is not continuous over all real numbers.

Not continuous

Determine if Continuous f(x)=(x-2)/(x^2+3x+2)