document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121733>Question 121733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x) = 3x-5 / x+2     f ^ -1 (x) =\r<BR>\n" );
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document.write( "a)       2x+5 / x-3\r<BR>\n" );
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document.write( "b)       -2x-5 / x-3\r<BR>\n" );
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document.write( "c)       -2x-5 / x+5\r<BR>\n" );
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document.write( "d)       2x+3 / x-5\r<BR>\n" );
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document.write( "e)       None of these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89378 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=89378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283x-5%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%283x-5%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283f%28x%29-5%29%2F%28f%28x%29%2B2%29 ALIGN=MIDDLE  ALT=\"x=%283f%28x%29-5%29%2F%28f%28x%29%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > In order to find the inverse function, replace every x with f(x) and vice versa.\r<BR>\n" );
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document.write( "So the goal is to solve for f(x)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28f%28x%29%2B2%29=3f%28x%29-5 ALIGN=MIDDLE  ALT=\"x%28f%28x%29%2B2%29=3f%28x%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29%2B2 ALIGN=MIDDLE  ALT=\"f%28x%29%2B2\"   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=xf%28x%29%2B2x=3f%28x%29-5 ALIGN=MIDDLE  ALT=\"xf%28x%29%2B2x=3f%28x%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xf%28x%29%2B2x-3f%28x%29=-5 ALIGN=MIDDLE  ALT=\"xf%28x%29%2B2x-3f%28x%29=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3f(x) from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xf%28x%29-3f%28x%29=-5-2x ALIGN=MIDDLE  ALT=\"xf%28x%29-3f%28x%29=-5-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2x from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xf%28x%29-3f%28x%29=-2x-5 ALIGN=MIDDLE  ALT=\"xf%28x%29-3f%28x%29=-2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29%28x-3%29=-2x-5 ALIGN=MIDDLE  ALT=\"f%28x%29%28x-3%29=-2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out f(x)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28-2x-5%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28-2x-5%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate f(x)\r<BR>\n" );
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document.write( "----------------------\r<BR>\n" );
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document.write( "So the inverse function is \r<BR>\n" );
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document.write( "So the answer is B) </SPAN>\n" );
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