document.write( "Question 150264: what is domain x^3 - X^2 - 2x +2/x^2-1 \n" ); document.write( "
Algebra.Com's Answer #110250 by Fombitz(32388)\"\" \"About 
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\"f%28x%29=%28x%5E3-x%5E2-2x%2B2%29%2F%28x%5E2-1%29\"
\n" ); document.write( "The domain is all x where f(x) is defined.
\n" ); document.write( "This function, f(x), is undefined when the denominator equals zero.
\n" ); document.write( "\"x%5E2-1=0\"
\n" ); document.write( "\"x%5E2=1\"
\n" ); document.write( "\"x=1\" and \"x=-1\"
\n" ); document.write( "Therefore the domain is (\"-infinity\",\"infinity\") with the exceptions of x=1 and x=-1.
\n" ); document.write( "More formally,
\n" ); document.write( "(\"-infinity\",\"-1\")U(\"-1\",\"1\")U(\"1\",\"infinity\")
\n" ); document.write( "where the open parentheses signifies that the value is not included.
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