document.write( "Question 118992: Find f^-1 of f(x)=x-3/x \n" ); document.write( "

Algebra.Com's Answer #87128 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Start with your function
\n" ); document.write( " $\"f%28x%29=%28x-3%29%2Fx\"$ or
\n" ); document.write( " $\"y=%28x-3%29%2Fx\"$
\n" ); document.write( "To find the inverse, interchange y and x and solve for y.
\n" ); document.write( " $\"y=%28x-3%29%2Fx\"$ Original equation
\n" ); document.write( " $\"highlight%28x%29=%28highlight%28y%29-3%29%2Fhighlight%28y%29\"$ Interchange x and y
\n" ); document.write( " $\"x=1-3%2Fy\"$
\n" ); document.write( " $\"x-1=-3%2Fy\"$
\n" ); document.write( " $\"y=-3%2F%28x-1%29\"$
\n" ); document.write( " $\"y=3%2F%281-x%29\"$
\n" ); document.write( " $\"f%5E%28-1%29%28x%29=3%2F%281-x%29\"$
\n" ); document.write( " \n" ); document.write( "

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