document.write( "Question 764130: if (x)=x/x-1 what is f^-1(x)
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Algebra.Com's Answer #465228 by josgarithmetic(39627) $\"\"$ $\"About$

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Write the function the way you mean it: $\"f%28x%29=x%2F%28x-1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "For easier use of notation, call the inverse of f to be g.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28g%28x%29%29=x=g%28x%29%2F%28g%28x%29-1%29\"$ and also $\"g%28f%28x%29%29=g%28x%2F%28x-1%29%29=x\"$
\n" ); document.write( "The $\"f%28g%28x%29%29\"$ composition will be easier to work with.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=g%28x%29%2F%28g%28x%29-1%29\"$
\n" ); document.write( " $\"x%28g%28x%29-1%29=g%28x%29\"$
\n" ); document.write( " $\"x%2Ag%28x%29-x=g%28x%29\"$
\n" ); document.write( " $\"x%2Ag%28x%29-g%28x%29=x\"$
\n" ); document.write( " $\"%28x-1%29g%28x%29=x\"$
\n" ); document.write( " $\"highlight%28g%28x%29=x%2F%28x-1%29%29\"$ , the inverse of f(x).\r
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\n" ); document.write( "\n" ); document.write( "This will help you understand the justification, if not trying a few values in the two functions:\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-8%2C8%2C-8%2C8%2Cx%2F%28x-1%29%29\"$ \n" ); document.write( "

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