document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133538>Question 133538</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321499134/algebrahomeworkh>College algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=x+1 and g(x)=6 /x+1 \r<BR>\n" );
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document.write( "Find (f*g)(1)\r<BR>\n" );
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document.write( "Here is what I have, but it seems to be incorrect. Can you please let me know where I've gone wrong?<BR>\n" );
document.write( "f=1+1 and g=6/1+1<BR>\n" );
document.write( "f=2 and g=6/2<BR>\n" );
document.write( "f=2 and g=3<BR>\n" );
document.write( "(2*3)=6\r<BR>\n" );
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document.write( "This is how I completed this one, but when I took my test, six was not the correct answer. Unfortunately, the correct answer is not given. I am curious to see what I did wrong. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97797 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=97797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think the problem is aksing for (f(g(x)) at the value x =1.\r<BR>\n" );
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document.write( "What you need to do is take the function g(x) and use that as the independent variable in f(x). As follows:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x%2B1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+6%2F%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"g%28x%29+=+6%2F%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now put the value of g(x) as the independent variable in f(x):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29+=+%286%2F%28x%2B1%29%29+%2B+1+ ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29+=+%286%2F%28x%2B1%29%29+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can either solve for f(g(x)) and then sub in 1, or just sub in one and solve. Let's sub in 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%281%29%29+=+%286%2F%281%2B1%29%29+%2B+1+ ALIGN=MIDDLE  ALT=\"f%28g%281%29%29+=+%286%2F%281%2B1%29%29+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%281%29%29+=+%286%2F2%29+%2B+1+ ALIGN=MIDDLE  ALT=\"f%28g%281%29%29+=+%286%2F2%29+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%281%29%29+=+3+%2B+1+ ALIGN=MIDDLE  ALT=\"f%28g%281%29%29+=+3+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29+=+4+ ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For your info, generally the function f(g(x)) is written as (fog(x))\r<BR>\n" );
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document.write( " </SPAN>\n" );
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