document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064212>Question 1064212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the domain of the function f(x) = ln (4x-x^2) \r<BR>\n" );
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document.write( "I've gotten the inequality of the function which is 4x-x^2>0 but I still can't figure out what the domain is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679260 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=679260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> graph 4x-x^2 and look for the part where f(x) > 0.<BR>\n" );
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document.write( "4x-x^2 must be greater than 0. ln (0) does not exist, nor does ln of a negative number<BR>\n" );
document.write( "Therefore, -x^2+4x=0<BR>\n" );
document.write( "same as x^2-4x=0<BR>\n" );
document.write( "x*(x-4)=0<BR>\n" );
document.write( "x=0 (not allowed)<BR>\n" );
document.write( "x=4 (not allowed)<BR>\n" );
document.write( "Need to test x between 0 and 4.  Try 1,2,3<BR>\n" );
document.write( "for 1, ln (3)<BR>\n" );
document.write( "for 2, ln (4)<BR>\n" );
document.write( "for 3, ln (3)<BR>\n" );
document.write( "Try 5<BR>\n" );
document.write( "ln (20-25) does not work.<BR>\n" );
document.write( "Domain is 0 < x < 4<BR>\n" );
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