document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335903>Question 335903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29=1%2F4th+root%28x%5E2-5x%29+ ALIGN=MIDDLE  ALT=\"+h%28x%29=1%2F4th+root%28x%5E2-5x%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=+4th+root%28x%5E2-5x%29+%3Eor+equal+to+0+ ALIGN=MIDDLE  ALT=\"+4th+root%28x%5E2-5x%29+%3Eor+equal+to+0+\"   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=+x%5E2-5x+%3Eor+equal+to+0+ ALIGN=MIDDLE  ALT=\"+x%5E2-5x+%3Eor+equal+to+0+\"   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=+x%28x-5%29+%3Eor+equal+to+0+ ALIGN=MIDDLE  ALT=\"+x%28x-5%29+%3Eor+equal+to+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #240923 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=240923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the domain of h(x)= 4th root(x^2-5x) <BR>\n" );
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document.write( " x^2-5x >= 0 \r<BR>\n" );
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document.write( " x(x-5) >= 0<BR>\n" );
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document.write( "Solve the equality:<BR>\n" );
document.write( "x = 0 or x = 5<BR>\n" );
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document.write( "To solve the inequality:<BR>\n" );
document.write( "1st: Draw a number line and plot x = 0 and x = 5<BR>\n" );
document.write( "2nd: Check a test-value from each of the three<BR>\n" );
document.write( "resulting intervals to determine where the solutions<BR>\n" );
document.write( "for the inequality lie.<BR>\n" );
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document.write( "x(x-5) > 0<BR>\n" );
document.write( "Check x = -10: -*->0 ; true, so solutions in (-inf,0)<BR>\n" );
document.write( "Check x = 2: +*->0 ; false, so no solutions in (0,5)<BR>\n" );
document.write( "Check x = 10: +*+>0 ; true, so solutions in (5,+inf)<BR>\n" );
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document.write( "Final solution:<BR>\n" );
document.write( "[0,5] or 0<= x <=5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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