document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127364>Question 1127364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose f(x)=(x-5)2 and g(x)=&#8730;x+7. Evaluate the following expressions. <BR>\n" );
document.write( "A)f(g(5))<BR>\n" );
document.write( "B)g(f(&#8722;13)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743768 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " Suppose <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-5%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=sqrt%28x%2B7%29 ALIGN=MIDDLE  ALT=\"g%28x%29=sqrt%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Evaluate the following expressions.<BR>\n" );
document.write( "A)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%285%29%29 ALIGN=MIDDLE  ALT=\"f%28g%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "first find\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%28sqrt%28x%2B7%29%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%28sqrt%28x%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%28sqrt%28x%2B7%29-5%29%5E2%0D%0A%0D%0A%7B%7B%7Bf%28g%28x%29%29=+%28sqrt%28x%2B7%29%29%5E2-2%2A5sqrt%28x%2B7%29%2B25 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=x%2B7-10sqrt%28x%2B7%29%2B25 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=x%2B7-10sqrt%28x%2B7%29%2B25\"   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=f%28g%28x%29%29=x%2B37+-10sqrt%2812%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=x%2B37+-10sqrt%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%285%29%29=37+-10sqrt%2812%29 ALIGN=MIDDLE  ALT=\"f%28g%285%29%29=37+-10sqrt%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%285%29%29=37+-10%2A3.46 ALIGN=MIDDLE  ALT=\"f%28g%285%29%29=37+-10%2A3.46\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%285%29%29=37+-34.6 ALIGN=MIDDLE  ALT=\"f%28g%285%29%29=37+-34.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%285%29%29=2.4 ALIGN=MIDDLE  ALT=\"f%28g%285%29%29=2.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28-13%29%29 ALIGN=MIDDLE  ALT=\"g%28f%28-13%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29+=g%28%28x-5%29%5E2%29 ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29+=g%28%28x-5%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=sqrt%28%28x-5%29%5E2%2B7%29 ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=sqrt%28%28x-5%29%5E2%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=sqrt%28x%5E2-10x%2B25%2B7%29 ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=sqrt%28x%5E2-10x%2B25%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=sqrt%28x%5E2-10x%2B32%29 ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=sqrt%28x%5E2-10x%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-13 ALIGN=MIDDLE  ALT=\"x=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28-13%29%29+=sqrt%28%28-13%29%5E2-10%28-13%29%2B32%29 ALIGN=MIDDLE  ALT=\"g%28f%28-13%29%29+=sqrt%28%28-13%29%5E2-10%28-13%29%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28-13%29%29+=sqrt%28169%2B130%2B32%29 ALIGN=MIDDLE  ALT=\"g%28f%28-13%29%29+=sqrt%28169%2B130%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28-13%29%29+=18.19 ALIGN=MIDDLE  ALT=\"g%28f%28-13%29%29+=18.19\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );