document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180064>Question 1180064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x) = 2x+3 and g(x) = 4-5x, determine the x-value for which f(2x) = g(1-x). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809680 by </B><A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><B>amarjeeth123(570)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are given that f(x)=2x+3 and g(x)=4-5x<BR>\n" );
document.write( "We have to determine the x-value for which f(2x)=g(1-x)<BR>\n" );
document.write( "f(2x)=2(2x)+3=4x+3<BR>\n" );
document.write( "g(1-x)=4-5(1-x)=4-5+5x=5x-1<BR>\n" );
document.write( "Plugging in the values we get,<BR>\n" );
document.write( "4x+3=5x-1<BR>\n" );
document.write( "5x-4x=3+1<BR>\n" );
document.write( "x=4.<BR>\n" );
document.write( "The value of x is 4. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );