document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177006>Question 177006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x)=3x+1, u(x)=square root x, and h(x)=1/(x+1), find h(f(u(x)).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132051 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given f(x)=3x+1, u(x)=square root x, and h(x)=1/(x+1), find h(f(u(x)). \r<BR>\n" );
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document.write( "First,<BR>\n" );
document.write( "f(x)=3x+1, u(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so to find f(u(x)) substitute the u(x) into the formula for f(x) like this:  f(u(x))= 3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >+1. \r<BR>\n" );
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document.write( "Next, h(f(u(x))), substitute f(u(x)) into the formula for h(x) like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+1%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"h%28x%29+=+1%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28f%28u%28x%29%29%29+=+1%2F%28%283%2Asqrt%28x%29+%2B+1+%29+%2B1%29 ALIGN=MIDDLE  ALT=\"h%28f%28u%28x%29%29%29+=+1%2F%28%283%2Asqrt%28x%29+%2B+1+%29+%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28f%28u%28x%29%29%29+=+1%2F%283%2Asqrt%28x%29+%2B+2%29 ALIGN=MIDDLE  ALT=\"h%28f%28u%28x%29%29%29+=+1%2F%283%2Asqrt%28x%29+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 </SPAN>\n" );
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