document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95645>Question 95645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem:<BR>\n" );
document.write( "Let f be the function given by f(x)=ln| <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F%281%2Bx%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28x%2F%281%2Bx%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > |.<BR>\n" );
document.write( "a. Find the domain of f.<BR>\n" );
document.write( "b. Determine whether f is an even function, an odd function, or neither. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69736 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=69736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f be the function given by f(x)=ln|(x/(1+x^2))|.<BR>\n" );
document.write( "a. Find the domain of f.<BR>\n" );
document.write( "x/(1+x^2) must be greater than or equal to zero\r<BR>\n" );
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document.write( "x/(1+x^2) >= 0<BR>\n" );
document.write( "True if x >+ 0<BR>\n" );
document.write( "Domain is \"all Real Numbers\" greater than or equal to 0<BR>\n" );
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document.write( "\n" );
document.write( "b. Determine whether f is an even function, an odd function, or neither.<BR>\n" );
document.write( "f(x)  =ln|(x/(1+x^2))|<BR>\n" );
document.write( "f(-x) =ln|-(x/(1+(-x)^2)| = ln|x/(1+x^2)|<BR>\n" );
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document.write( "Since f(x) = f(-x), f is even<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );