document.write( "Question 976199: f(x) = (1)/(x+10) \r
\n" ); document.write( "\n" ); document.write( " f^(-1)(x) = \n" ); document.write( "

Algebra.Com's Answer #597836 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"f%28x%29+=+%281%29%2F%28x%2B10%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "to find inverse $\"f%5E%28-1%29%28x%29\"$ , first recall that $\"f%28x%29+=y\"$ ; so, substitute it in $\"f%28x%29+=+%281%29%2F%28x%2B10%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+%281%29%2F%28x%2B10%29+\"$ ...now swap $\"x\"$ and $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%281%29%2F%28y%2B10%29+\"$ ....solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2A%28y%2B10%29++=+1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%2B10++=+1%2Fx\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+1%2Fx-10\"$ \r
\n" ); document.write( "\n" ); document.write( "so, your inverse is:\r
\n" ); document.write( "\n" ); document.write( " $\"f%5E%28-1%29%28x%29+=+1%2Fx-10\"$ \r
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\n" ); document.write( "\n" ); document.write( "here is a graph:\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+1%2F%28x%2B10%29%2C+1%2Fx-10%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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