document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979279>Question 979279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following rational function describes blood concentration of a certain drug taken via IV overtime, find the horizontal or oblique asymptote if any, the vertical asymptote if any, then tell what possible meanings would this problem relate to the blood concentration of a drug taken via IV overtime with a patient .. F (x) =  -  6x-6\ 5x+4 for x >1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600606 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is a typo, or at least a failure to understand and/or apply the time-honored conventions on order of operations that are the basis of algebra.\r<BR>\n" );
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document.write( "F (x) = - 6x-6/5x+4 =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+6x-6%2F%225+x%22%2B4 ALIGN=MIDDLE  ALT=\"-+6x-6%2F%225+x%22%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > graphs like this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-1%2C4%2C-9%2C1%2C-+6x-6%2F5%2Fx%2B4%29%0D%0A ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-1%2C4%2C-9%2C1%2C-+6x-6%2F5%2Fx%2B4%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That function is negative for x >1, so that does not make sense.<BR>\n" );
document.write( "If you just forgot that you needed parentheses, and meant<BR>\n" );
document.write( "F (x) = - (6x-6)/(5x+4) =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+%286x-6%29%2F%285x%2B4%29 ALIGN=MIDDLE  ALT=\"-+%286x-6%29%2F%285x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-1%2C9%2C-1%2C9%2C-+%286x-6%29%2F%285x%2B4%29%29%0D%0A ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-1%2C9%2C-1%2C9%2C-+%286x-6%29%2F%285x%2B4%29%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" > or F (x) = (-6x-6)/(5x+4) =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6x-6%29%2F%285x%2B4%29 ALIGN=MIDDLE  ALT=\"%28-6x-6%29%2F%285x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C3%2C-9%2C1%2C%28-6x-6%29%2F%285x%2B4%29%29%0D%0A ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C3%2C-9%2C1%2C%28-6x-6%29%2F%285x%2B4%29%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "those functions are also negative for x >1, so they does not make sense either.\r<BR>\n" );
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document.write( "If you meant F (x) = (6x-6)/(5x+4) =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x-6%29%2F%285x%2B4%29 ALIGN=MIDDLE  ALT=\"%286x-6%29%2F%285x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C200%2C-1%2C19%2C-0.5%2C1.5%2Clocate%282%2C1.2%2Cgreen%28y=1.2%29%29%2Clocate%284%2C0.8%2Cred%28y=F%28x%29%29%29%2Cgraph%28500%2C200%2C-1%2C19%2C-0.5%2C1.5%2C%286x-6%29%2F%285x%2B4%29%2C1.2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > , that could make some sense for some drug, at least for the first few hours, or if it is being continuously infused.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29=%286x-6%29%2F%285x%2B4%29=%286x%2B4.8-10.8%29%2F%285x%2B4%29=%286x%2B4.8%29%2F%285x%2B4%29-10.8%2F%285x%2B4%29=%286%28x%2B0.8%29%29%2F%285%28x%2B0.8%29%29-10.8%2F%285x%2B4%29=6%2F5-10.8%2F%285x%2B4%29=1.2-10.8%2F%285x%2B4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3Einfinity%2CF%28x%29=6%2F5%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3Einfinity%2CF%28x%29=6%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1.2 ALIGN=MIDDLE  ALT=\"y=1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the horizontal asymptote of <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;\" > ,<BR>\n" );
document.write( "and that is the only asymptote that matters for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E1 ALIGN=MIDDLE  ALT=\"x%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Looking at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29=%286x-6%29%2F%285x%2B4%29 ALIGN=MIDDLE  ALT=\"F%28x%29=%286x-6%29%2F%285x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a function without restrictions to its domain,<BR>\n" );
document.write( "we may want to graph the function over more of its domain,<BR>\n" );
document.write( "and there is, of course, a vertical asymptote for<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B4=0 ALIGN=MIDDLE  ALT=\"5x%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=-4 ALIGN=MIDDLE  ALT=\"5x=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4%2F5 ALIGN=MIDDLE  ALT=\"x=-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-10%2C10%2C-9%2C11%2Cgreen%28line%28-0.8%2C-9%2C-0.8%2C11%29%29%2Clocate%28-3.2%2C-3%2Cgreen%28x=-0.8%29%29%2Clocate%282%2C2%2Cgreen%28y=1.2%29%29%2Clocate%284%2C0.8%2Cred%28y=F%28x%29%29%29%2Clocate%28-5%2C3%2Cred%28y=F%28x%29%29%29%2Cgraph%28500%2C500%2C-10%2C10%2C-9%2C11%2C%286x-6%29%2F%285x%2B4%29%2C1.2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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