document.write( "Question 1063759: An expression is well-defined if you can compute its value without any illegal operations. Examples of expressions that are not well-defined include 1/0 and sqrt{-10}. For what values of x is the expression
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document.write( "sqrt{x + 1} + {1 - x}}/{\sqrt{x}}
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document.write( "well-defined?\r
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document.write( "Express your answer in interval notation. \n" );
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Algebra.Com's Answer #678884 by ikleyn(52805)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "I read your expression as \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sqrt(x + 1) + (1 - x)/sqrt(x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If your expression is different, then it is your fault (because your formula formally is NOT correct).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this case, the following conditions must be satisfied:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "x + 1 >= 0,\r\n" ); document.write( "\r\n" ); document.write( "x >= 0 and\r\n" ); document.write( "\r\n" ); document.write( "x =/= 0.\r\n" ); document.write( "\r\n" ); document.write( "In the interval form, x must belong to the set (\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |