document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125641>Question 1125641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Analytically show that the function is one-to-one, find its inverse, and evaluate the following:\r<BR>\n" );
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document.write( "f(x)=10-&#8731;(x-8)\r<BR>\n" );
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document.write( "f^(-1) (10)\r<BR>\n" );
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document.write( "f^(-1) (11)\r<BR>\n" );
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document.write( "f^(-1) (12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742017 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find its inverse, and evaluate the following:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=10-root%283%2Cx-8%29 ALIGN=MIDDLE  ALT=\"f%28x%29=10-root%283%2Cx-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "first\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=y ALIGN=MIDDLE  ALT=\"f%28x%29=y\"   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=10-root%283%2Cx-8%29 ALIGN=MIDDLE  ALT=\"y=10-root%283%2Cx-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....Interchange the variables:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10-root%283%2Cy-8%29 ALIGN=MIDDLE  ALT=\"x=10-root%283%2Cy-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=root%283%2Cy-8%29=10-x ALIGN=MIDDLE  ALT=\"root%283%2Cy-8%29=10-x\"   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=%28root%283%2Cy-8%29%29%5E3=%2810-x%29%5E3 ALIGN=MIDDLE  ALT=\"%28root%283%2Cy-8%29%29%5E3=%2810-x%29%5E3\"   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-8=-x%5E3+%2B+30+x%5E2+-+300+x+%2B+1000 ALIGN=MIDDLE  ALT=\"y-8=-x%5E3+%2B+30+x%5E2+-+300+x+%2B+1000\"   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=-x%5E3+%2B+30+x%5E2+-+300+x+%2B+1000%2B8 ALIGN=MIDDLE  ALT=\"y=-x%5E3+%2B+30+x%5E2+-+300+x+%2B+1000%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so your inverse is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29=-x%5E3+%2B+30+x%5E2+-+300+x+%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29=-x%5E3+%2B+30+x%5E2+-+300+x+%2B+1008\"   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%5E%28-1%29+%2810%29=-%2810%29%5E3+%2B+30+%2810%29%5E2+-+300+%2810%29+%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2810%29=-%2810%29%5E3+%2B+30+%2810%29%5E2+-+300+%2810%29+%2B+1008\"   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%5E%28-1%29+%2810%29=-%281000%29+%2B+30+%28100%29+-+300+%2810%29+%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2810%29=-%281000%29+%2B+30+%28100%29+-+300+%2810%29+%2B+1008\"   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%5E%28-1%29+%2810%29=-1000+%2B+3000++-3000++%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2810%29=-1000+%2B+3000++-3000++%2B+1008\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29+%2810%29=-1000++%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2810%29=-1000++%2B+1008\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29+%2810%29=8 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2810%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "f^(-1) (11)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29+%2811%29=-%2811%29%5E3+%2B+30+%2811%29%5E2+-+300+%2811%29+%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2811%29=-%2811%29%5E3+%2B+30+%2811%29%5E2+-+300+%2811%29+%2B+1008\"   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%5E%28-1%29+%2811%29=-%281331%29+%2B+30+%28121%29+-+300+%2811%29+%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2811%29=-%281331%29+%2B+30+%28121%29+-+300+%2811%29+%2B+1008\"   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%5E%28-1%29+%2811%29=-1331+%2B+3630++-3300++%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2811%29=-1331+%2B+3630++-3300++%2B+1008\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29+%2811%29=-4631++%2B+4638 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2811%29=-4631++%2B+4638\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29+%2811%29=7 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2811%29=7\"   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%5E%28-1%29+%2812%29=-%2812%29%5E3+%2B+30+%2812%29%5E2+-+300+%2812%29+%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2812%29=-%2812%29%5E3+%2B+30+%2812%29%5E2+-+300+%2812%29+%2B+1008\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29+%2812%29=-1728+%2B+4320+-+3600+%2B+1008 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2812%29=-1728+%2B+4320+-+3600+%2B+1008\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29+%2812%29=+5328+-+5328+ ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2812%29=+5328+-+5328+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%28-1%29+%2812%29=+0+ ALIGN=MIDDLE  ALT=\"f%5E%28-1%29+%2812%29=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );