document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035668>Question 1035668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A1. Let f be a one-to-one function whose inverse function is given by the formula\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%28x%29=x%5E5%2B2x%5E3%2B3x%2B1 ALIGN=MIDDLE  ALT=\"f%5E%28-1%29%28x%29=x%5E5%2B2x%5E3%2B3x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(a) Compute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%281%29 ALIGN=MIDDLE  ALT=\"f%5E-1%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29 ALIGN=MIDDLE  ALT=\"f%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(b) Compute the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B0%5D ALIGN=MIDDLE  ALT=\"x%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%5B0%5D%29+=+1 ALIGN=MIDDLE  ALT=\"f%28x%5B0%5D%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "(c) Compute the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B0%5D ALIGN=MIDDLE  ALT=\"y%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28y%5B0%5D%29=1 ALIGN=MIDDLE  ALT=\"f%5E-1%28y%5B0%5D%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Thankyou for looking over! Steps and instructions will be appreciate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650338 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%281%29+=+1%5E5%2B2%2A1%5E3%2B3%2A1%2B1+=+7 ALIGN=MIDDLE  ALT=\"f%5E-1%281%29+=+1%5E5%2B2%2A1%5E3%2B3%2A1%2B1+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "To find f(1), substitute f(1) into <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( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+f%5E-1%28f%281%29%29=%28f%281%29%29%5E5%2B2%2A%28f%281%29%29%5E3%2B3%2Af%281%29%2B1 ALIGN=MIDDLE  ALT=\"1+=+f%5E-1%28f%281%29%29=%28f%281%29%29%5E5%2B2%2A%28f%281%29%29%5E3%2B3%2Af%281%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%28f%281%29%29%5E5%2B2%2A%28f%281%29%29%5E3%2B3%2Af%281%29+=+%28f%281%29%29%28+%28f%281%29%29%5E4%2B2%2A%28f%281%29%29%5E2%2B3+++++++++++++++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%281%29+=+0%29 ALIGN=MIDDLE  ALT=\"highlight%28f%281%29+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%281%29%29%5E4%2B2%2A%28f%281%29%29%5E2%2B3+%3E+0 ALIGN=MIDDLE  ALT=\"%28f%281%29%29%5E4%2B2%2A%28f%281%29%29%5E2%2B3+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "(b)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%5B0%5D%29+=+1 ALIGN=MIDDLE  ALT=\"f%28x%5B0%5D%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B0%5D+=+f%5E%28-1%29%281%29+=+7 ALIGN=MIDDLE  ALT=\"x%5B0%5D+=+f%5E%28-1%29%281%29+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "(c)   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28y%5B0%5D%29=1 ALIGN=MIDDLE  ALT=\"f%5E-1%28y%5B0%5D%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1%28y%5B0%5D%29=%28y%5B0%5D%29%5E5%2B2%2A%28y%5B0%5D%29%5E3%2B3%2Ay%5B0%5Dx%2B1+=+1 ALIGN=MIDDLE  ALT=\"f%5E-1%28y%5B0%5D%29=%28y%5B0%5D%29%5E5%2B2%2A%28y%5B0%5D%29%5E3%2B3%2Ay%5B0%5Dx%2B1+=+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=%28y%5B0%5D%29%5E5%2B2%2A%28y%5B0%5D%29%5E3%2B3%2Ay%5B0%5D+=+0 ALIGN=MIDDLE  ALT=\"%28y%5B0%5D%29%5E5%2B2%2A%28y%5B0%5D%29%5E3%2B3%2Ay%5B0%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5B0%5D%29%28+%28y%5B0%5D%29%5E4%2B2%2A%28y%5B0%5D%29%5E2%2B3+++++++++++++++%29+=+0 ALIGN=MIDDLE  ALT=\"%28y%5B0%5D%29%28+%28y%5B0%5D%29%5E4%2B2%2A%28y%5B0%5D%29%5E2%2B3+++++++++++++++%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y%5B0%5D+=+0%29 ALIGN=MIDDLE  ALT=\"highlight%28y%5B0%5D+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  (This is basically the same computation we had in the latter half of part (a). </SPAN>\n" );
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