document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2338>Question 2338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is f^-1(x) if f(x)=1/2x-3? would the answer be f^-1(x)=1/2x+3? if not what? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1004 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ok, inverses of functions...very simple. All you are being asked is basically find the \"reverse\" function...in \"earlier Maths\"...what is x equal to, that is all.\r<BR>\n" );
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document.write( "so, f(x) = y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%282x-3%29 ALIGN=MIDDLE  ALT=\"1%2F%282x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(2x-3)y = 1<BR>\n" );
document.write( "2x-3 = 1/y<BR>\n" );
document.write( "2x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fy%29%2B3 ALIGN=MIDDLE  ALT=\"%281%2Fy%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2Fy%29%2B3%29%2F2 ALIGN=MIDDLE  ALT=\"%28%281%2Fy%29%2B3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this is your answer...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29+=+%28%281%2Fx%29%2B3%29%2F2 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29+=+%28%281%2Fx%29%2B3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note, i have changed the y into an x, because the function asks for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, not <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28y%29 ALIGN=MIDDLE  ALT=\"f%5E-1%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The acid test is that f(x) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > should be opposites of each other,\r<BR>\n" );
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document.write( "so put a value in f(x) to give an answer.<BR>\n" );
document.write( "then put that answer in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the original number back as the answer.\r<BR>\n" );
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document.write( "eg x=1 into f(x) is -1\r<BR>\n" );
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document.write( "so x=-1 into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28x%29 ALIGN=MIDDLE  ALT=\"f%5E-1%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 1. CORRECT :-)\r<BR>\n" );
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document.write( "PS, this working assumes that i have read your f(x) correctly...or is f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F%282x%29%29-3 ALIGN=MIDDLE  ALT=\"%281%2F%282x%29%29-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >? If so, you re-do the work to find the inverse :-)\r<BR>\n" );
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document.write( "jon.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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