document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697190>Question 697190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 44. If f(x)=3x+2 at what point do the graphs of f(x) and f^-1(x) intersect </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429776 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=429776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If f(x)=3x+2 at what point do the graphs of f(x) and f^-1(x) intersect<BR>\n" );
document.write( "**<BR>\n" );
document.write( "y=3x+2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x=3y+2<BR>\n" );
document.write( "3y=x-2<BR>\n" );
document.write( "y=x/3-2/3(inverse)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "set inverse and original equation equal to each other:<BR>\n" );
document.write( "3x+2=x/3-2/3<BR>\n" );
document.write( "9x+6=x-2<BR>\n" );
document.write( "8x=-8<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "y=3x+2=-3+2=-1<BR>\n" );
document.write( "f(x) and f^-1(x) intersect at (-1,-1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );