document.write( "Question 683295: State a suitable domain for f(x)= (x+2)/x^2-4 \n" ); document.write( "

Algebra.Com's Answer #423547 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "f(x) = \r\n" );
document.write( "\r\n" );
document.write( "The denominator cannot equal to 0, so if we set it = 0,\r\n" );
document.write( "its solution will tell us which values of x are not\r\n" );
document.write( "part of the domain.\r\n" );
document.write( "\r\n" );
document.write( "        x² - 4 = 0 \r\n" );
document.write( "(x - 2)(x + 2) = 0\r\n" );
document.write( "\r\n" );
document.write( "x = 2,  x = -2.\r\n" );
document.write( "\r\n" );
document.write( "So the domain cannot contain either of those values of x, but\r\n" );
document.write( "contains all other values of x, so the domain is\r\n" );
document.write( "\r\n" );
document.write( "(-oo, -2) U (-2,2) U (2, oo)\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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

\n" );