document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54199>Question 54199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not know how to solve this problem\r<BR>\n" );
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document.write( "f(x)= 11x-9    g(x)= x+11 over 9<BR>\n" );
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document.write( "verify the inverse functions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36472 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=36472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the inverse of a function, you exchange the dependent and the independent variables, then solve for the dependent variable. Sounds complicated doesn't it? But here's how it's done:\r<BR>\n" );
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document.write( "Given the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+11x-9 ALIGN=MIDDLE  ALT=\"f%28x%29=+11x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, find the inverse function <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( "1) Write the function as:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+11x-9 ALIGN=MIDDLE  ALT=\"y+=+11x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "2) Swap the x and y: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+11y-9 ALIGN=MIDDLE  ALT=\"x+=+11y-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) Solve for y: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x%2B9%29%2F11 ALIGN=MIDDLE  ALT=\"y+=+%28x%2B9%29%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4) Write in inverse function form by replacing y with <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;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29+=+%28x%2B9%29%2F11 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+=+%28x%2B9%29%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check: Recall that: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28f%5E%28-1%29%28x%29%29+=+x ALIGN=MIDDLE  ALT=\"f%28f%5E%28-1%29%28x%29%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28%28x%2B9%29%2F11%29+=+11%28%28x%2B9%29%2F11%29-9 ALIGN=MIDDLE  ALT=\"f%28%28x%2B9%29%2F11%29+=+11%28%28x%2B9%29%2F11%29-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x\r<BR>\n" );
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document.write( "Similarly for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%28x%2B11%29%2F9 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%28x%2B11%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1) Write as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x%2B11%29%2F9 ALIGN=MIDDLE  ALT=\"y+=+%28x%2B11%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) Swap the variables: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28y%2B11%29%2F9 ALIGN=MIDDLE  ALT=\"x+=+%28y%2B11%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) Solve for y: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+9x-11 ALIGN=MIDDLE  ALT=\"y+=+9x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4) Write the inverse function form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5E%28-1%29%28x%29+=+9x-11 ALIGN=MIDDLE  ALT=\"g%5E%28-1%29%28x%29+=+9x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check: Recall that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28g%5E%28-1%29%28x%29%29+=+x ALIGN=MIDDLE  ALT=\"g%28g%5E%28-1%29%28x%29%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%289x-11%29+=+%289%28x%2B11%29%2F9%29-11 ALIGN=MIDDLE  ALT=\"g%289x-11%29+=+%289%28x%2B11%29%2F9%29-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x </SPAN>\n" );
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