document.write( "Question 64095: what would be the domain of this equation:\r
\n" ); document.write( "\n" ); document.write( "The square root of 9-4x. All is included under the radical!\r
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Algebra.Com's Answer #44731 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
what would be the domain of this equation: \r\n" );
document.write( "The square root of 9-4x. All is included under the \r\n" );
document.write( "radical! thanks\r\n" );
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document.write( "           ______\r\n" );
document.write( "          Ö9 - 4x\r\n" );
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document.write( "An even root, such as square root, 4th root, 6th root,\r\n" );
document.write( "etc. (BUT NOT an odd root, such as cube root, 5th \r\n" );
document.write( "root, 7th root, etc) gives a real result when and only \r\n" );
document.write( "when its radicand (what's under the radical) is not \r\n" );
document.write( "negative, that is, greater than or equal to 0.\r\n" );
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document.write( "This is an even root, so for the domain we must require\r\n" );
document.write( "that its radicand be greater than or equal to 0:\r\n" );
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document.write( "         9 - 4x ³ 0\r\n" );
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document.write( "            -4x ³ -9\r\n" );
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document.write( "              x £ 9/4\r\n" );
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document.write( "Graph of domain on a number line:\r\n" );
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document.write( "< =========================·--------\r\n" );
document.write( "                          9/4\r\n" );
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document.write( "Domain in set builder notation {x|x £ 9/4}\r\n" );
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document.write( "Domain in interval notation:  (-¥, 9/4] \r\n" );
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document.write( "Note: if it were an odd root instead of an \r\n" );
document.write( "even root the domain would always be\r\n" );
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document.write( "(-¥, ¥)\r\n" );
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document.write( "Edwin
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