document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037620>Question 1037620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two functions f and g are such that f(x) = 1 + 2x and g(f(x)) = x + 3. What is the value of g(5)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652242 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=652242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Both functions are linear in x.\r<BR>\n" );
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document.write( "Expect g(x) to be a linear function in x, and g might be kx+p, so start it as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=kx%2Bp ALIGN=MIDDLE  ALT=\"g%28x%29=kx%2Bp\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=k%28f%28x%29%29%2Bp ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=k%28f%28x%29%29%2Bp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=k%281%2B2x%29%2Bp ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=k%281%2B2x%29%2Bp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=k%2B2kx%2Bp ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=k%2B2kx%2Bp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=2kx%2Bk%2Bp ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=2kx%2Bk%2Bp\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Given is the composition <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=x%2B3 ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The two composition functions must be equal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2kx%2Bk%2Bp=x%2B3 ALIGN=MIDDLE  ALT=\"2kx%2Bk%2Bp=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Identify and equate the corresponding parts.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282k=1%2Ck%2Bp=3%29 ALIGN=MIDDLE  ALT=\"system%282k=1%2Ck%2Bp=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28k=1%2F2%2Ck%2Bp=3%29 ALIGN=MIDDLE  ALT=\"system%28k=1%2F2%2Ck%2Bp=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=3-k ALIGN=MIDDLE  ALT=\"p=3-k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=3-1%2F2 ALIGN=MIDDLE  ALT=\"p=3-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=2%261%2F2 ALIGN=MIDDLE  ALT=\"p=2%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Return to the more variablized function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=kx%2Bp ALIGN=MIDDLE  ALT=\"g%28x%29=kx%2Bp\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and substitute the values found.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g%28x%29=x%2F2%2B2%261%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28g%28x%29=x%2F2%2B2%261%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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