document.write( "Question 370596: Explain how to determine which numbers must be excluded from the domain of a rational expression. \n" ); document.write( "

Algebra.Com's Answer #264152 by robertb(5830) $\"\"$ $\"About$

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Make sure that the denominators are not equal to 0. This said, just solve for the roots of the denominators, and exclude these from the domain. For example,
\n" ); document.write( " $\"%282x%2B1%29%2F%28x%5E2+-x%29+%2B+1%2F%28x%2B1%29+-+5x%2F%28x%5E2-5x%2B6%29+\"$ is a rational expression whose denominators are zero at 0,1, -1,2, and 3. Thus the domain of this expression is the set of all real numbers except 0,1, -1,2, and 3. \n" ); document.write( "

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