document.write( "Question 1146991: Give the domain of r(x)= (-5x^2-5x)÷(sqrt 10-6x) \n" ); document.write( "

Algebra.Com's Answer #768292 by ikleyn(52800) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "The domain in this case is the set of all real numbers x such that\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    10-6x > 0    (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "providing the expression in the denominator under the square root positive and non-zero.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "This inequality (1) is equivalent to\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    10 > 6x,   or  x <  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The domain is  x < .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );