document.write( "Question 717617: State the domain of the function given. \r
\n" ); document.write( "\n" ); document.write( "f(x)=35/(2x-1) \n" ); document.write( "
Algebra.Com's Answer #440359 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
\"%22f%28x%29%22\"\"%22%22=%22%22\"\"35%2F%282x-1%29\"
\n" ); document.write( "
\r\n" );
document.write( "No denominator can ever equal to 0, so we must exclude any number(s)\r\n" );
document.write( "from \"%28matrix%281%2C3%2C%0D%0A%0D%0A-infinity%2C%22%2C%22%2Cinfinity%29%29\" for which a denominator equals to 0.\r\n" );
document.write( "\r\n" );
document.write( "To find out what number(s) to exclude from \"%28matrix%281%2C3%2C%0D%0A%0D%0A-infinity%2C%22%2C%22%2Cinfinity%29%29\" we set the denominator equal to 0, and\r\n" );
document.write( "solve for x:\r\n" );
document.write( "\r\n" );
document.write( "2x-1 = 0\r\n" );
document.write( "  2x = 1\r\n" );
document.write( "   x = \"1%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "So therefore the domain is:\r\n" );
document.write( "\r\n" );
document.write( "\"%28matrix%281%2C3%2C%0D%0A%0D%0A-infinity%2C%22%2C%22%2C1%2F2%29%29\"\"U\"\"%28matrix%281%2C3%2C%0D%0A%0D%0A1%2F2%2C%22%2C%22%2Cinfinity%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "[Notice that the numerator 35 has no effect on the domain,\r\n" );
document.write( "and it could have been anything.  We just ignore it.]\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );