document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=547282>Question 547282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+%283x%5E2-6%29%2F%28x%5E2-4x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+%283x%5E2-6%29%2F%28x%5E2-4x%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=h%28x%29=+6x%2B2 ALIGN=MIDDLE  ALT=\"h%28x%29=+6x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find the domain of f(h(x))\r<BR>\n" );
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document.write( "I have no clue  thanks bunches for help<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356324 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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=356324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find f(h(x)), we need to plug in h(x) for any x we see in f(x).  This leaves:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+%283%286x%2B2%29%5E2-6%29%2F%28%286x%2B2%29%5E2-4%286x%2B2%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+%283%286x%2B2%29%5E2-6%29%2F%28%286x%2B2%29%5E2-4%286x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We could expand this... though it is not needed and will take some time.  Instead, we know that there is no limitations on x in the numerator.  But we do know that when there is a fraction, the denominator cannot be equal to 0.  <BR>\n" );
document.write( "This means that <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%2B2%29%5E2-4%286x%2B2%29 ALIGN=MIDDLE  ALT=\"%286x%2B2%29%5E2-4%286x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  cannot equal 0.  \r<BR>\n" );
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document.write( "Well... when does this expression equal 0.  In other words, lets solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%2B2%29%5E2-4%286x%2B2%29=0 ALIGN=MIDDLE  ALT=\"%286x%2B2%29%5E2-4%286x%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Again, we can expand this, or we could see that each term has a common factor of (6x+2) and factor this out. This leaves: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%2B2%29%28%286x%2B2%29-4%29=0 ALIGN=MIDDLE  ALT=\"%286x%2B2%29%28%286x%2B2%29-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%2B2%29%286x-2%29=0 ALIGN=MIDDLE  ALT=\"%286x%2B2%29%286x-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If two things multiply to give a product of 0, then at least one of them must be 0.  This means <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%2B2%29=0 ALIGN=MIDDLE  ALT=\"%286x%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=-2 ALIGN=MIDDLE  ALT=\"6x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F3 ALIGN=MIDDLE  ALT=\"x=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x-2%29=0 ALIGN=MIDDLE  ALT=\"%286x-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=2 ALIGN=MIDDLE  ALT=\"6x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F3 ALIGN=MIDDLE  ALT=\"x=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means x can be anything except <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hopefully this helps!  Please let me know if you still do not understand:)  </SPAN>\n" );
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