document.write( "Question 1163140: How do i find the inverse function of: f(x)=ln√(e^x - 2)\r
\n" ); document.write( "\n" ); document.write( "I started it like this:\r
\n" ); document.write( "\n" ); document.write( "f(x)=y <=> y=ln√(e^x-2) <=> e^y = √(e^x-2) <=> e^2y = e^x - 2 <=> e^x = e^2y+2 <=> ???\r
\n" ); document.write( "\n" ); document.write( "But I couldn't solve it till the end so i would appreciate any kind of help! \n" ); document.write( "
Algebra.Com's Answer #787126 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You were almost there!\r\n" );
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document.write( "\"y+=+ln%28sqrt%28e%5Ex-2%29%29\"\r\n" );
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document.write( "\"e%5Ey+=+sqrt%28e%5Ex-2%29\" \r\n" );
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document.write( "\"e%5E%282y%29+=+e%5Ex+-+2\"  \r\n" );
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document.write( "\"e%5Ex+=+e%5E%282y%29+%2B+2\" \r\n" );
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document.write( "\"ln%28e%5Ex%29+=+ln%28e%5E%282y%29%2B2%29\"\r\n" );
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document.write( "\"x+=+ln%28e%5E%282y%29%2B2%29\"\r\n" );
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document.write( "Now interchange x and y\r\n" );
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document.write( "\"y+=+ln%28e%5E%282x%29%2B2%29\"\r\n" );
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document.write( "Replace y by f-1(x)\r\n" );
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document.write( "f-1(x) = ln(e2x+2)\r\n" );
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document.write( "Edwin

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