document.write( "Question 250327: find the domain of f(x)=log [(x-2)/(x-1)] \n" ); document.write( "

Algebra.Com's Answer #185132 by drk(1908) $\"\"$ $\"About$

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Here is the original problem.
\n" ); document.write( "f(x)=log [(x-2)/(x-1)]
\n" ); document.write( "The domain of any log >=0
\n" ); document.write( "Step 1 -set (x-2) / (x-1) >= 0
\n" ); document.write( "First notice that if x = 1, our fraction is undefined.
\n" ); document.write( "* X cannot = 1
\n" ); document.write( "step 2 - multiply both sides by (x-1) to get
\n" ); document.write( "(x-2) >= 0
\n" ); document.write( "solving for x, we see
\n" ); document.write( "** x cannot = 2.
\n" ); document.write( "So it appears that x cannot equal 1 or 2.
\n" ); document.write( " \n" ); document.write( "

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