document.write( "Question 739648: Find the inverse function, if it exists of f(x)=5/(x-4) \n" ); document.write( "

Algebra.Com's Answer #451227 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "the inverse function, if it exists of $\"f%28x%29=5%2F%28x-4%29\"$ is $\"f%5E-1%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=5%2F%28x-4%29\"$ ......solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29y=5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"xy-4y=5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"xy=4y%2B5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=%284y%2B5%29%2Fy\"$ \r
\n" ); document.write( "\n" ); document.write( "...switch $\"y\"$ and $\"x\"$
\n" ); document.write( "the new \" $\"y\"$ =\" is the inverse:\r
\n" ); document.write( "\n" ); document.write( " $\"y=%284x%2B5%29%2Fx\"$
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