document.write( "Question 546501: what is the domain of a rational function when the denominator cannot be zero.i.e, (x^3+1)/(x^2+2x) \n" ); document.write( "
Algebra.Com's Answer #356031 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
what is the domain of a rational function when the denominator cannot be zero.i.e, (x^3+1)/(x^2+2x)
\n" ); document.write( ".
\n" ); document.write( "Find values that would make the denominator zero:
\n" ); document.write( "x^2+2x = 0
\n" ); document.write( "x(x+2) = 0
\n" ); document.write( "x = {-2, 0} (values that x can't take)
\n" ); document.write( ".
\n" ); document.write( "Therefore, the domain is ALL numbers except {-2, 0}
\n" ); document.write( ".
\n" ); document.write( "You can specify this by:
\n" ); document.write( "(-oo, -2) U (-2, 0) U (0, +oo)
\n" ); document.write( "where
\n" ); document.write( "oo represents infinity
\n" ); document.write( "
\n" ); document.write( "
\n" );