document.write( "Question 646743: what is the domain of (5-x)^(1/6) \n" ); document.write( "

Algebra.Com's Answer #405929 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( " is the same as \r\n" );
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document.write( "6th root is an EVEN root, and even roots of negative numbers are not\r\n" );
document.write( "real numbers, so we must make sure that 5-x is not negative which means\r\n" );
document.write( "that it is positive or zero, which means that it is greater than or equal\r\n" );
document.write( "to zero.  So we require this inequality to make sure what's under the\r\n" );
document.write( "EVEN root radical is not negative: \r\n" );
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document.write( "5 - x > 0\r\n" );
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document.write( "   -x > -5\r\n" );
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document.write( "Then we divide through by -1 which reverses the inequality\r\n" );
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document.write( "    x < 5\r\n" );
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document.write( "In interval notation that is (, 5]\r\n" );
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document.write( "Edwin

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