document.write( "Question 768512: find inverse function , f^-1(x), given that f(x) = (2x-1)/x+3
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Algebra.Com's Answer #468344 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29+=+%282x-1%29%2Fx%2B3\"$ \r
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\n" ); document.write( "\n" ); document.write( "what is g(x) so that $\"g%28f%28x%29%29=f%28g%28x%29%29=%282%28g%28x%29%29-1%29%2F%28g%28x%29%29%2B3=x\"$
\n" ); document.write( " $\"%282%28g%28x%29%29-1%29%2F%28g%28x%29%29%2B3=x\"$
\n" ); document.write( " $\"2%2Ag%28x%29-1=x%28g%28x%29%2B3%29\"$
\n" ); document.write( " $\"2%2Ag%28x%29-1=x%2Ag%28x%29%2B3x\"$
\n" ); document.write( " $\"2g%28x%29-x%2Ag%28x%29=3x%2B1\"$
\n" ); document.write( " $\"g%28x%29%282-x%29=3x%2B1\"$
\n" ); document.write( "This should be the inverse: $\"highlight%28g%28x%29=%283x%2B1%29%2F%282-x%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Just BE AWARE, this IS IMPERFECT BECAUSE f(x) has a asymptote at x=0, but g(x) is defined at g(x)=0. Also f(x)=2 works for f(x) but g(x) is not defined for x=2.\r
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\n" ); document.write( "\n" ); document.write( "f(x) $\"graph%28300%2C300%2C-5%2C5%2C-15%2C15%2C%282x-1%29%2Fx%2B3%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "g(x) $\"graph%28300%2C300%2C-5%2C5%2C-15%2C15%2C%283x%2B1%29%2F%282-x%29+%29\"$ \n" ); document.write( "

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