document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=441772>Question 441772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse function for y=f(x)=4x-5<BR>\n" );
document.write( "Graph f and its inverse </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304851 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=304851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = f(x) = 4x - 5<BR>\n" );
document.write( "The inverse of the function is obtained by replacing x with y and solving for y:<BR>\n" );
document.write( "x = 4y - 5<BR>\n" );
document.write( "x + 5 = 4y<BR>\n" );
document.write( "y = g(x) = x/4 + 5/4<BR>\n" );
document.write( "The inverse of a function \"undoes\" the original function.  As a check, let x=2<BR>\n" );
document.write( "Then f(2) = y = 8 - 5 = 3<BR>\n" );
document.write( "The inverse is y = g(3) = 3/4 + 5/4 = 8/4 = 2<BR>\n" );
document.write( "This function returns the value of 2 so it has \"undone\" the original function<BR>\n" );
document.write( "Here are the graphs:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C4x-5%2Cx%2F4%2B5%2F4%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C4x-5%2Cx%2F4%2B5%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );