document.write( "Question 359067: Find (fog)(x)
\n" ); document.write( "when g(x) = 3/(x - 1), f(x) = (x - 1)/(x - 3)
\n" ); document.write( "I really need some help \n" ); document.write( "

Algebra.Com's Answer #256250 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"f%28x%29+=+%28x+-+1%29%2F%28x+-+3%29\"$
\n" ); document.write( " $\"g%28x%29+=+3%2F%28x+-+1%29\"$
\n" ); document.write( " $\"f%28g%29=%28g-1%29%2F%28g-3%29\"$
\n" ); document.write( "Let's simplify first.
\n" ); document.write( " $\"g-1=3%2F%28x-1%29-1\"$
\n" ); document.write( " $\"g-1=3%2F%28x-1%29-%28x-1%29%2F%28x-1%29\"$
\n" ); document.write( " $\"g-1=%283-%28x-1%29%29%2F%28x-1%29\"$
\n" ); document.write( " $\"g-1=%283-x%2B1%29%2F%28x-1%29\"$
\n" ); document.write( " $\"g-1=%284-x%29%2F%28x-1%29\"$
\n" ); document.write( "Similarly,
\n" ); document.write( " $\"g-3=3%2F%28x-1%29-3\"$
\n" ); document.write( " $\"g-3=3%2F%28x-1%29-%283%28x-1%29%29%2F%28x-1%29\"$
\n" ); document.write( " $\"g-3=%283-3%28x-1%29%29%2F%28x-1%29\"$
\n" ); document.write( " $\"g-3=%283-3x%2B3%29%2F%28x-1%29\"$
\n" ); document.write( " $\"g-3=%286-3x%29%2F%28x-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"g-3=%283%282-x%29%29%2F%28x-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Put it all together,
\n" ); document.write( " $\"f%28g%29=%28g-1%29%2F%28g-3%29\"$
\n" ); document.write( " $\"f%28g%29=%28%284-x%29%2F%28x-1%29%29%2F%28%283%282-x%29%29%2F%28x-1%29%29\"$
\n" ); document.write( " $\"highlight%28f%28g%29=%284-x%29%2F%283%282-x%29%29%29\"$ \n" ); document.write( "

\n" );