document.write( "Question 758126: given that f(x)=2x+1/3x+4 determine f^1(x)
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #461250 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
given that f(x)=2x+1/3x+4 determine f^1(x)
\n" ); document.write( ".
\n" ); document.write( "I'll assume you meant:
\n" ); document.write( "f(x)=(2x+1)/(3x+4)
\n" ); document.write( ".
\n" ); document.write( "replace f(x) with y:
\n" ); document.write( "y=(2x+1)/(3x+4)
\n" ); document.write( "switch variables:
\n" ); document.write( "x = (2y+1)/(3y+4)
\n" ); document.write( "multiplying both sides by (3y+4):
\n" ); document.write( "x(3y+4) = (2y+1)
\n" ); document.write( "3xy+4x = 2y+1
\n" ); document.write( "3xy = 2y+1-4x
\n" ); document.write( "3xy-2y = 1-4x
\n" ); document.write( "y(3x-2) = 1-4x
\n" ); document.write( "y = (1-4x)/(3x-2)
\n" ); document.write( ".
\n" ); document.write( "So,
\n" ); document.write( "f^1(x) = (1-4x)/(3x-2)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );