document.write( "Question 389553: Hello.... I have a seemingly straight forward function problem, however the solution provided is unclear to me. Given F[X] = 1/x-1 [square root of].find f[x]-f[2] over x-2. My solution is [1/x-1[sq.rt]-1]over x-2 \n" ); document.write( "
Algebra.Com's Answer #276080 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Given F[X] = 1/x-1 [square root of].find f[x]-f[2] over x-2. My solution is [1/x-1[sq.rt]-1]over x-2
\n" ); document.write( "-------------
\n" ); document.write( "f(x) = \"sqrt%281%2F%28x-1%29%29\"
\n" ); document.write( "-------
\n" ); document.write( "f(2) = \"sqrt%281%2F%282-1%29%29+=+1\"
\n" ); document.write( "f(x) - f(2) = \"%28sqrt%281%2F%28x-1%29%29%29+-+1\"
\n" ); document.write( "You can rationalize that
\n" ); document.write( "= \"%28sqrt%28x-1%29%2F%28x-1%29%29-1\"
\n" ); document.write( "--------
\n" ); document.write( "[f(x) - f(2)]/(x-2) = \"%28%28sqrt%28x-1%29%2F%28x-1%29%29-1%29%2F%28x-2%29\"
\n" ); document.write( "Not much different from your answer. \n" ); document.write( "
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