document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113908>Question 1113908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x) = (2x + 3)/4 then f-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 #728956 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=728956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f^-1(x) is the inverse of f(x).\r<BR>\n" );
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document.write( "your equation is f(x) = (2x+3)/4\r<BR>\n" );
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document.write( "replace f(x) with y and it becomes y = (2x+3)/4\r<BR>\n" );
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document.write( "solve for x as follows:\r<BR>\n" );
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document.write( "multiply both sides of the equation by 4 to get 4y = 2x + 3<BR>\n" );
document.write( "subtract 3 from both sides of the equation to get 4y-3 = 2x<BR>\n" );
document.write( "divide both sides of the equation by 2 to get (4y-3)/2 = x<BR>\n" );
document.write( "now replace x with y and y with x to get (4x-3)/2 = y<BR>\n" );
document.write( "switch sides to get y = (4x-3)/2.<BR>\n" );
document.write( "replace y with f^-1(x) to get f^-1(x) = (4x-3)/2<BR>\n" );
document.write( "that's your inverse equation.\r<BR>\n" );
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document.write( "to graph replace f(x) with y and replace f^-1(x) with y and graph both equations.<BR>\n" );
document.write( "you will graph y = (2x+3)/4 and y = (4x-3)/2<BR>\n" );
document.write( "your graph looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src= \"http://theo.x10hosting.com/2018/040401.jpg\" alt=\"$$$\">\r<BR>\n" );
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document.write( "red is your normal equation.<BR>\n" );
document.write( "blue is your inverse equation.\r<BR>\n" );
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document.write( "you can tell these are inverse equations of each other because they are refledtions about the line y = x and f(a,b) = f^-1(b,a).\r<BR>\n" );
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document.write( "that's evident when you look at the intersection of both lines with the line y = -x + 8, where a is equal to 4.137 and b is equal to 4.833.<BR>\n" );
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