document.write( "Question 1000687: What are the domain and range of the inverse of \r
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Algebra.Com's Answer #618088 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "to find inverse of \"y=sqrt%281%2F%28x-2%29%29\", swap \"x\" and \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x=sqrt%281%2F%28y-2%29%29\".....solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=%28sqrt%281%2F%28y-2%29%29%29%5E2\"
\n" ); document.write( "\"x%5E2=1%2F%28y-2%29\"
\n" ); document.write( "\"x%5E2%28y-2%29=1\"
\n" ); document.write( "\"y-2=1%2Fx%5E2\"
\n" ); document.write( "\"y=1%2Fx%5E2%2B2\"
\n" ); document.write( "\"y+=+%282x%5E2%2B1%29%2Fx%5E2\"\r
\n" ); document.write( "\n" ); document.write( "so, inverse is \"y%5E-1=+%282x%5E2%2B1%29%2Fx%5E2\"\r
\n" ); document.write( "\n" ); document.write( "domain: \r
\n" ); document.write( "\n" ); document.write( "{ \"x\" element \"R\": \"x%3C%3E0\" }\r
\n" ); document.write( "\n" ); document.write( "range:\r
\n" ); document.write( "\n" ); document.write( "{ \"y\" element \"R\" : \"y%3E2\" }\r
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