document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191326>Question 191326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I just learned Composite functions last class and I am really struggling with it... Is there any way you can show me how to do this with steps so that I can see exactly how this is done please.\r<BR>\n" );
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document.write( "Let f(x)=x/x-1, g(x)=-4/x, and h(x)=3x-2 \r<BR>\n" );
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document.write( "Find the domain of f<BR>\n" );
document.write( "Find the domain of g<BR>\n" );
document.write( "Find the domain of h<BR>\n" );
document.write( "Find (fog)(x)<BR>\n" );
document.write( "Find the domain of fog<BR>\n" );
document.write( "Find (fog)(2)<BR>\n" );
document.write( "Find (goh)(x)<BR>\n" );
document.write( "Find the slope of h(x)<BR>\n" );
document.write( "Determine whether h(x) is an increasing, decreasing or constant function<BR>\n" );
document.write( "Find h^-1(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143595 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=143595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=x/x-1, <BR>\n" );
document.write( "g(x)=-4/x, <BR>\n" );
document.write( "and h(x)=3x-2 <BR>\n" );
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document.write( "Find the domain of f: all Real numbers except x = 1<BR>\n" );
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document.write( "Find the domain of g: all Real numbers except x = 0<BR>\n" );
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document.write( "Find the domain of h: all Real numbers<BR>\n" );
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document.write( "Find (fog)(x) =f[-4/x) = (-4/x)/(-4/x)-1) = (-4/x)/[(-4-x)/x]<BR>\n" );
document.write( "= [4(4+x)] = 16+4x<BR>\n" );
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document.write( "Find the domain of fog: all Real Numbers<BR>\n" );
document.write( "Find (fog)(2) = f(g(2)) = f(-4/2) = = f(-2) = -2/(-2-1) = 2/3<BR>\n" );
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document.write( "Find (goh)(x) = g[3x-2] = -4/(3x-2)<BR>\n" );
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document.write( "Find the slope of h(x): slope = 3<BR>\n" );
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document.write( "Determine whether h(x) is an increasing, decreasing or constant function<BR>\n" );
document.write( "Increasing because the slope is greater than 3<BR>\n" );
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document.write( "Find h^-1(x) = (x+2)/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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