document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=372260>Question 372260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the functions g and h are defined for all real numbers x as follows.\r<BR>\n" );
document.write( "\n" );
document.write( "g(x)=x-4<BR>\n" );
document.write( "h(x)=4x+2\r<BR>\n" );
document.write( "\n" );
document.write( "Write the expression for (g-h)(x) and (g*h)(x) and evaluate (g+h)(-2)\r<BR>\n" );
document.write( "\n" );
document.write( "(g-h)(x)=<BR>\n" );
document.write( "(g*h)(x)=<BR>\n" );
document.write( "(g+h)(x)=\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265180 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (g\ -\ h)(x)\ =\ g(x)\ -\ h(x)\ =\ (x\ -\ 4)\ -\ (4x\ +\ 2)\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (g\ \cdot\ h)(x)\ =\ g(x)\ \cdot\ h(x)\ =\ (x\ -\ 4)(4x\ +\ 2)\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (g\ +\ h)(x)\ =\ g(x)\ +\ h(x)\ =\ (x\ -\ 4)\ +\ (4x\ +\ 2)\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You get to simplify these yourself.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Once you simplify the last one, substitute -2 for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> and do the arithmetic.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );