document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710645>Question 710645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of f^-1 (3/4) if<BR>\n" );
document.write( "f(x)= (2x-3)/(2x+4)\r<BR>\n" );
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document.write( "Show work  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437122 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=437122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the value of f^-1 (3/4) if<BR>\n" );
document.write( "f(x)= (2x-3)/(2x+4) <BR>\n" );
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document.write( "Begin by finding f^(-1):<BR>\n" );
document.write( "f(x)= (2x-3)/(2x+4) <BR>\n" );
document.write( "y = (2x-3)/(2x+4) <BR>\n" );
document.write( "flip variables and solve for y:<BR>\n" );
document.write( "x = (2y-3)/(2y+4) <BR>\n" );
document.write( "x(2y+4) = (2y-3) <BR>\n" );
document.write( "2xy+4x = 2y-3<BR>\n" );
document.write( "2xy = 2y-3-4x<BR>\n" );
document.write( "2xy-2y = -3-4x<BR>\n" );
document.write( "y(2x-2) = -3-4x<BR>\n" );
document.write( "y = (-3-4x)/(2x-2)<BR>\n" );
document.write( "y = (3+4x)/(2-2x)<BR>\n" );
document.write( "f^(-1)(x)  = (3+4x)/(2-2x)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "f^-1 (3/4) = (3+4(3/4))/(2-2(3/4))<BR>\n" );
document.write( "f^-1 (3/4) = (3+3)/(2-(3/2))<BR>\n" );
document.write( "f^-1 (3/4) = (6)/((2/2)-(3/2))<BR>\n" );
document.write( "f^-1 (3/4) = (6)/(-(1/2))<BR>\n" );
document.write( "f^-1 (3/4) = -12<BR>\n" );
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