document.write( "Question 217944: Find the inverse of y = (3x) / (x-2) and state the domain of the inverse.\r
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document.write( "I have tried switching the x's for y. I get stuck at this step of the problem:\r
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document.write( "{(xy)-(2x)} / 3 \r
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document.write( "I've looked online for inverse help, but nothing makes sense! Everyone just says switch the x for y. \r
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document.write( "Thanks \n" );
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Algebra.Com's Answer #164231 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! starting with ,,,,,,y= (3x)/(x-2) \n" ); document.write( ". \n" ); document.write( "Inverse is,,,,,,x=(3y)/(y-2),,,,,,,just switch x for y and vice verse \n" ); document.write( ". \n" ); document.write( "BUT, now lets put in terms of y=? \n" ); document.write( ". \n" ); document.write( "cross multiply ,,,,x(y-2) = 3y \n" ); document.write( ". \n" ); document.write( "xy -2x =3y \n" ); document.write( ". \n" ); document.write( "xy -3y =2x \n" ); document.write( ". \n" ); document.write( "y(x-3) = 2x \n" ); document.write( ". \n" ); document.write( "y= 2x/(x-3),,,,,,,DOMAIN is all REAL numbers except x=3 \n" ); document.write( ". \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "inverses should reflect over the line y=x,,,(45 degree line) \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |