# Determine if Continuous f(x)=(x-2)/(x^2+3x+2) Set the denominator in equal to to find where the expression is undefined.
Solve for .
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)

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