document.write( "Question 62555This question is from textbook
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Algebra.Com's Answer #43331 by Edwin McCravy(20054)\"\" \"About 
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Find the Domain and Range of the function: 1/x4.
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document.write( "There are only two things which restrict the domain \r\n" );
document.write( "or range of a function in ordinary algebra.\r\n" );
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document.write( "1.  Denominators which must never be 0.\r\n" );
document.write( "2.  Even root radicands which must never be negative.\r\n" );
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document.write( "If there are no denominators or even root radicands \r\n" );
document.write( "which contain variables then the domain is always\r\n" );
document.write( "(-¥, ¥)\r\n" );
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document.write( "             1\r\n" );
document.write( "y = f(x) = ----\r\n" );
document.write( "            x4\r\n" );
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document.write( "has a denominator with a variable, so we must \r\n" );
document.write( "require that x4 ¹ 0, or x ¹ 0\r\n" );
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document.write( "So the domain is \r\n" );
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document.write( "      (-¥, 0) È (0, ¥)\r\n" );
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document.write( "To find the range, we solve the equation for x, \r\n" );
document.write( "and use the same criteria for y.\r\n" );
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document.write( "             1\r\n" );
document.write( "       y = ----\r\n" );
document.write( "            x4\r\n" );
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document.write( "Multiply both sides by x4\r\n" );
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document.write( "     x4y = 1\r\n" );
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document.write( "            1 \r\n" );
document.write( "      x4 = ---\r\n" );
document.write( "            y\r\n" );
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document.write( "             1\r\n" );
document.write( "      x =  -----\r\n" );
document.write( "            4Öy\r\n" );
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document.write( "This is an even root radical, therefore its radicand, y\r\n" );
document.write( "must not be negative. Since it is also in a denominator\r\n" );
document.write( "it must not be 0 either.  Therefore it must by greater\r\n" );
document.write( "than 0, or y > 0.  Therefore the range is\r\n" );
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document.write( "       (0, ¥)\r\n" );
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document.write( "Edwin
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