document.write( "Question 481128: The one-to-one function is defined by\r
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document.write( "f(x) = x/(8-9x)\r
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document.write( "Find f^-1, the inverse of f . Then, give the domain and range of f^-1 using interval notation. \n" );
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Algebra.Com's Answer #329473 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The one-to-one function is defined by \n" ); document.write( "f(x) = x/(8-9x) \n" ); document.write( "Find f^-1, the inverse of f . \n" ); document.write( "----- \n" ); document.write( "1st: Interchange x and y to get: \n" ); document.write( "x = y/(8-9y) \n" ); document.write( "2nd: Solve for \"y\": \n" ); document.write( "8x-9xy = y \n" ); document.write( "--- \n" ); document.write( "y+9xy = 8x \n" ); document.write( "y(9x+1) = 8x \n" ); document.write( "f^-1(x) = 8x/(9x+1) \n" ); document.write( "----- \n" ); document.write( "Domain: All Real Numbers except x = -1/9 \n" ); document.write( "Range: All Real Numbers except y = 8/9 \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then, give the domain and range of f^-1 using interval notation. \n" ); document.write( " \n" ); document.write( " |