document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312054>Question 312054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x) = sin x, g(x) = 1/x, and h(x) = |x|\r<BR>\n" );
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document.write( "A) state the single equation that represents y = h(g(f(x)))<BR>\n" );
document.write( "B) describe what each composition does in the order that it is applied.<BR>\n" );
document.write( "C) sketch a curve on the interval -2pi<=x=<2pi with all the major features. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223120 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=sin%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "a)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28h%28x%29%29%29=sin%28abs%281%2Fx%29%29 ALIGN=MIDDLE  ALT=\"f%28g%28h%28x%29%29%29=sin%28abs%281%2Fx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b) h(x)- Take the absolute value of x.<BR>\n" );
document.write( "g(h(x))-Take the absolute value of the reciprocal of x.<BR>\n" );
document.write( "f(g(h(x))- Take the sine of the absolute value of the reciprocal of x. <BR>\n" );
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document.write( "c) The function is undefined at x=0 since division by zero is undefined. But there is a lot of action as x approaches zero from both sides. \r<BR>\n" );
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