document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179073>Question 1179073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of the one-to-one function.<BR>\n" );
document.write( "f(x)=3x+1/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808576 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The method shown by the other tutor is fine: switch the x and y in the given function and solve for the new y.  That method is often needed for complicated functions.<br><BR>\n" );
document.write( "For relatively simple functions like this, there is a much easier way to find the inverse, using the idea that the inverse function \"gets you back where you started\" by \"un-doing\" what the function does.<br><BR>\n" );
document.write( "What does the given function do to the input?<BR>\n" );
document.write( "(1) multiply by 3; and<BR>\n" );
document.write( "(2) add 1/4<br><BR>\n" );
document.write( "The inverse function has to undo those operations, using the inverse operations in the opposite order.<br><BR>\n" );
document.write( "Inverse function:<BR>\n" );
document.write( "(1) subtract 1/4; and<BR>\n" );
document.write( "(2) divide by 3<br><BR>\n" );
document.write( "ANSWER: The inverse function is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-1%2F4%29%2F3 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-1%2F4%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Change the format if desired or required....<br><BR>\n" );
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document.write( "The words of explanation make this look like a long process.  But here is all that is really involved:<br><BR>\n" );
document.write( "given function: multiply by 3; add 1/4<BR>\n" );
document.write( "inverse function: subtract 1/4; divide by 3<br><BR>\n" );
document.write( " </SPAN>\n" );
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