document.write( "Question 947497: are my domains correct?\r
\n" ); document.write( "\n" ); document.write( "√(x-5)^2: [5,inf)\r
\n" ); document.write( "\n" ); document.write( "√(x^2-5): [5,inf)\r
\n" ); document.write( "\n" ); document.write( "(√(25-x^2))/√(1+x): (-1,5]U[5,inf)\r
\n" ); document.write( "\n" ); document.write( "Thanks! \n" ); document.write( "

Algebra.Com's Answer #578150 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%28%28x-5%29%5E2%29=x-5\"$ : \r
\n" ); document.write( "\n" ); document.write( "domain:
\n" ); document.write( "{ $\"x\"$ element $\"R\"$ : $\"x%3E=5\"$ }; so, [5,inf) is correct\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%28%28x%5E2-5%29%29\"$ : => means $\"x%5E2-5\"$ cannot be equal to zero\r
\n" ); document.write( "\n" ); document.write( "it will be $\"x%5E2-5=0\"$ if $\"x%5E2=5\"$ => $\"x\"$ = ą $\"sqrt%285%29\"$
\n" ); document.write( "=> $\"x=sqrt%285%29\"$ or $\"x=-sqrt%285%29\"$ \r
\n" ); document.write( "\n" ); document.write( "{ $\"x\"$ element $\"R\"$ : $\"x%2Bsqrt%285%29%3C=0\"$ or $\"x%3E=sqrt%285%29\"$ }\r
\n" ); document.write( "\n" ); document.write( "so, domain is ( $\"-infinity\"$ , $\"-sqrt%285%29\"$ ] U [ $\"sqrt%285%29\"$ , $\"infinity\"$ )\r
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\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%2825-x%5E2%29%29%2Fsqrt%281%2Bx%29\"$ : (-1,5]U[5,inf)- $\"not\"$ correct \r
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\n" ); document.write( "\n" ); document.write( "{ $\"x\"$ element $\"R\"$ : $\"-1%3Cx%3C=5\"$ }\r
\n" ); document.write( "\n" ); document.write( "( $\"-1\"$ , $\"5\"$ ]\r
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