document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937972>Question 937972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey there, \r<BR>\n" );
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document.write( "I'm struggling with a bit of university pre calc this is an activity i have been given for practice for an upcoming test and would really appreciate a step by step in how you do all these examples, our teacher seemed to rush through it and it makes no sense to me \r<BR>\n" );
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document.write( "let f(x) = ln(x), g(x) = &#8730;x + 1 and h(x) 1/x, be defined on their natural domains. Define the following functions and state the domain for each function, using set notation \r<BR>\n" );
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document.write( "(a) (f o g)(x) \r<BR>\n" );
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document.write( "(b)(g o f)(x) \r<BR>\n" );
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document.write( "(c) g(x)h(x) \r<BR>\n" );
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document.write( "thanks <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 #571322 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=571322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let f(x) = ln(x), g(x) = &#8730;x + 1 and h(x) 1/x, be defined on their natural domains. Define the following functions and state the domain for each function, using set notation<BR>\n" );
document.write( "(a)(f o g)(x) = f[g(x)] = f[sqrt(x)+1] = ln[sqrt(x)+1]<BR>\n" );
document.write( "Domain: x >= 0<BR>\n" );
document.write( "Range:: y >= 0<BR>\n" );
document.write( "------------------- <BR>\n" );
document.write( "(b)(g o f)(x) = g[f(x)] g[ln(x)] = sqrt[ln(x)+1]<BR>\n" );
document.write( "Domain: x >= 0<BR>\n" );
document.write( "Range: y >= 1<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "(c) g(x)h(x) = (sqrt(x)+1)(1/x) = [sqrt(x)+1]/x<BR>\n" );
document.write( "Domain: x > 0<BR>\n" );
document.write( "Range: ?<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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