document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196464>Question 1196464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a formula for the inverse of the function.<BR>\n" );
document.write( "f(x) = 6x − 1/2x + 9\r<BR>\n" );
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document.write( "f −1(x) =       (f inverse of x).\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829300 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=829300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> BAD NOTATION\r<BR>\n" );
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document.write( "You want ,  in pure text, f(x)=(6x-1)/(2x+9), and want to find  f^(-1)(x).<BR>\n" );
document.write( "Yet, your given function the way you showed is ambiguous.\r<BR>\n" );
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document.write( "Written to show better mathematical express,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%286x-1%29%2F%282x%2B9%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%286x-1%29%2F%282x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,   and you want to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29%28x%29 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Choosing I to represent the inverse of f just for easier symbolisation, then for finding I, you can make<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%286I-1%29%2F%282I%2B9%29 ALIGN=MIDDLE  ALT=\"x=%286I-1%29%2F%282I%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  and solve this for I.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%282I%2B9%29=6I-1 ALIGN=MIDDLE  ALT=\"x%282I%2B9%29=6I-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xI%2B9x=6I-1 ALIGN=MIDDLE  ALT=\"2xI%2B9x=6I-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B1=6I-2xI ALIGN=MIDDLE  ALT=\"9x%2B1=6I-2xI\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B1=I%286-2x%29 ALIGN=MIDDLE  ALT=\"9x%2B1=I%286-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28I=%289x%2B1%29%2F%286-2x%29%29 ALIGN=MIDDLE  ALT=\"highlight%28I=%289x%2B1%29%2F%286-2x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but you may need to check for any restrictions. </SPAN>\n" );
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