document.write( "Question 1064348: 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\r
\n" ); document.write( "\n" ); document.write( "[sqrt{x + 1} + sqrt{1 - x}] /sqrt{x}
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\n" ); document.write( "\n" ); document.write( "Express your answer in interval notation. \n" ); document.write( "

Algebra.Com's Answer #679389 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "An expression is well-defined if you can compute its value without any illegal operations. Examples of expressions
\n" ); document.write( "that are not well-defined include 1/0 and sqrt{-10}. For what values of x is the expression\r
\n" ); document.write( "\n" ); document.write( "[sqrt{x + 1} + sqrt{1 - x}] /sqrt{x}
\n" ); document.write( "well-defined?\r
\n" ); document.write( "\n" ); document.write( "Express your answer in interval notation.
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\n" ); document.write( "\n" ); document.write( "For your expression to be well defined, the following conditions must be satisfied:\r
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document.write( "x + 1 >= 0,\r\n" );
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document.write( "1 - x >= 0,\r\n" );
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document.write( "x >= 0      and\r\n" );
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document.write( "x =/= 0.\r\n" );
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document.write( "The solution is  0 < x <= 1.\r\n" );
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document.write( "In the interval form, x must belong to the set (,].\r\n" );
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