document.write( "Question 961643: show that f(x)= 3x-2 divided by 5x-3 is its own inverse. \n" ); document.write( "

Algebra.Com's Answer #587612 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=%283x-2%29%2F%285x-3%29\"$
\n" ); document.write( " $\"y=%283x-2%29%2F%285x-3%29\"$
\n" ); document.write( "Interchange x and y.
\n" ); document.write( "Solve for y, that's the inverse.
\n" ); document.write( " $\"x=%283y-2%29%2F%285y-3%29\"$
\n" ); document.write( " $\"x%285y-3%29=3y-2\"$
\n" ); document.write( " $\"5xy-3x=3y-2\"$
\n" ); document.write( " $\"5xy-3y=3x-2\"$
\n" ); document.write( " $\"y%285x-3%29=3x-2\"$
\n" ); document.write( " $\"y=%283x-2%29%2F%285x-3%29\"$
\n" ); document.write( " $\"f%5E%28-1%29%28x%29=%283x-2%29%2F%285x-3%29\"$
\n" ); document.write( " \n" ); document.write( "

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