document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214824>Question 214824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One more function I can't seem to get right.\r<BR>\n" );
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document.write( "s(x)=2^x    h(x)=x^2    find h(s(x))\r<BR>\n" );
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document.write( "My answer was 4^x but was wrong of course. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162291 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162291\">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=s%28x%29+=+2%5Ex ALIGN=MIDDLE  ALT=\"s%28x%29+=+2%5Ex\"   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=h%28x%29+=+x%5E2 ALIGN=MIDDLE  ALT=\"h%28x%29+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "you replace x in h(x) with (2^x) to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28s%28x%29%29+=+h%282%5Ex%29+=+%282%5Ex%29%5E2 ALIGN=MIDDLE  ALT=\"h%28s%28x%29%29+=+h%282%5Ex%29+=+%282%5Ex%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "To prove this is true, take any value for x.<BR>\n" );
document.write( "let x = 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28x%29+=+2%5Ex+=+2%5E5+=+32 ALIGN=MIDDLE  ALT=\"s%28x%29+=+2%5Ex+=+2%5E5+=+32\"   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=h%28s%28x%29%29+=+%282%5Ex%29%5E2+=+%282%5E5%29%5E2+=+2%5E%2810%29+=+1024 ALIGN=MIDDLE  ALT=\"h%28s%28x%29%29+=+%282%5Ex%29%5E2+=+%282%5E5%29%5E2+=+2%5E%2810%29+=+1024\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "if x = 32<BR>\n" );
document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+h%2832%29+=+32%5E2+=+1024 ALIGN=MIDDLE  ALT=\"h%28x%29+=+h%2832%29+=+32%5E2+=+1024\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "You got the same result if you solved for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28s%28x%29%29 ALIGN=MIDDLE  ALT=\"h%28s%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > directly, or if you solved for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28x%29 ALIGN=MIDDLE  ALT=\"s%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > first and then placed that value into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29 ALIGN=MIDDLE  ALT=\"h%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This shows that the two equations are equivalent.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Your answer is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28s%28x%29%29+=+%282%5Ex%29%5E2 ALIGN=MIDDLE  ALT=\"h%28s%28x%29%29+=+%282%5Ex%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );