document.write( "Question 681877: show that (g of f)(x)=x and (f of g)(x)=x
\n" ); document.write( "f(x)=2/(1-x)
\n" ); document.write( "g(x)=(x-2)/x \n" ); document.write( "

Algebra.Com's Answer #422987 by ReadingBoosters(3246) $\"\"$ $\"About$

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(gof)(x) = $\"%28%282%2F%281-x%29%29-2%29%2F%282%2F%281-x%29%29\"$
\n" ); document.write( " = $\"%28%282%2F%281-x%29%29-2%29%28%281-x%29%2F2%29\"$
\n" ); document.write( "...
\n" ); document.write( " = $\"%28%282%2F%281-x%29%29-2%28%281-x%29%2F%281-x%29%29%29%28%281-x%29%2F2%29\"$
\n" ); document.write( "...
\n" ); document.write( " = $\"%28%282-2%281-x%29%29%2F%281-x%29%29%28%281-x%29%2F2%29\"$
\n" ); document.write( "...
\n" ); document.write( " = $\"%28%282-2%2B2x%29%2F%281-x%29%29%28%281-x%29%2F2%29\"$
\n" ); document.write( "...
\n" ); document.write( " = $\"%28cross%282%29x%2Fcross%28%281-x%29%29%29%28cross%28%281-x%29%29%2Fcross%282%29%29\"$
\n" ); document.write( "...
\n" ); document.write( " = x
\n" ); document.write( "(fog)(x) = $\"2%2F%281-%28%28x-2%29%2Fx%29%29\"$
\n" ); document.write( " = $\"2%2F%281%28x%2Fx%29+-+%28%28x-2%29%2Fx%29%29\"$
\n" ); document.write( "...
\n" ); document.write( " = $\"2%2F%28%28x-%28x-2%29%29%2Fx%29%29\"$
\n" ); document.write( "...
\n" ); document.write( " = $\"2%2F%28%28x-x%2B2%29%2Fx%29\"$
\n" ); document.write( "...
\n" ); document.write( " = $\"cross%282%29%28x%2Fcross%282%29%29\"$
\n" ); document.write( "...
\n" ); document.write( " = x
\n" ); document.write( ".....................
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