document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156161>Question 156161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:\r<BR>\n" );
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document.write( "What is g(x) = f^-1(x) if f(x) = 1/2 x?\r<BR>\n" );
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document.write( "a. g(x) = 0<BR>\n" );
document.write( "b. g(x) = -2x<BR>\n" );
document.write( "c. g(x) = 1/2x^-1<BR>\n" );
document.write( "d. g(x) = 2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115028 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=115028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%281%2F2%29x ALIGN=MIDDLE  ALT=\"f%28x%29=%281%2F2%29x\"   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=f%28x%29=%281%2F2%29x ALIGN=MIDDLE  ALT=\"f%28x%29=%281%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29x ALIGN=MIDDLE  ALT=\"y=%281%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with \"y\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%281%2F2%29y ALIGN=MIDDLE  ALT=\"x=%281%2F2%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Switch \"x\" and \"y\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=y ALIGN=MIDDLE  ALT=\"2x=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 2 to solve for \"y\"\r<BR>\n" );
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document.write( "So after solving for \"y\", we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x ALIGN=MIDDLE  ALT=\"y=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the inverse function is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}\left(x\right)=2x\">\r<BR>\n" );
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document.write( "Or...\r<BR>\n" );
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document.write( "Is the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%281%29%2F%282x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%281%29%2F%282x%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=f%28x%29=%281%29%2F%282x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%281%29%2F%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%29%2F%282x%29 ALIGN=MIDDLE  ALT=\"y=%281%29%2F%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with \"y\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%281%29%2F%282y%29 ALIGN=MIDDLE  ALT=\"x=%281%29%2F%282y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Switch \"x\" and \"y\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy=1 ALIGN=MIDDLE  ALT=\"2xy=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y ALIGN=MIDDLE  ALT=\"2y\"   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=y=1%2F%282x%29 ALIGN=MIDDLE  ALT=\"y=1%2F%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to solve for \"y\"\r<BR>\n" );
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document.write( "So after solving for \"y\", we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F%282x%29 ALIGN=MIDDLE  ALT=\"y=1%2F%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the inverse function is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}\left(x\right)=\frac{1}{2x}\"> </SPAN>\n" );
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