document.write( "Question 693319: (x+(x^-2))/(1+(x^-2)) \n" ); document.write( "
Algebra.Com's Answer #427360 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%2B%28x%5E%28-2%29%29%29%2F%281%2B%28x%5E%28-2%29%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2B%281%2Fx%5E2%29%29%2F%281%2B%281%2Fx%5E2%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28x%2Ax%5E2%2B1%29%2Fx%5E2%29%2F%28%281%2Ax%5E2%2B1%29%2Fx%5E2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E3%2B1%29%2Fx%5E2%29%2F%28%28x%5E2%2B1%29%2Fx%5E2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E3%2B1%29%2Fcross%28x%5E2%29%29%2F%28%28x%5E2%2B1%29%2Fcross%28x%5E2%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%5E3%2B1%29%2F%28x%5E2%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "roots:\r
\n" ); document.write( "\n" ); document.write( "real root \"x%5E2%2B1=0\".....=>.......\"x%5E2=-1\" =>.......\"x=-1\"\r
\n" ); document.write( "\n" ); document.write( "complex root \"%28x%5E3%2B1%29=0\"....=>....\"x%5E3=-1\"...=>....\"x=root%283%2C-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "because you have \"1%2Fx%5E2\", and because denominator cannot be equal to zero. you have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a domain:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and the range is:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );