document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947948>Question 947948</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for f(x)=3x^2+5 and g(x)=7x-2,<BR>\n" );
document.write( "a)verify:g(x+2)not equal to g(x)+g(2).<BR>\n" );
document.write( "b)find(f-g)(x).<BR>\n" );
document.write( "c) using the resulting function in (b), show that (f-g)(2)=f(2)-g(2).<BR>\n" );
document.write( "d)is (fg)(0)= (f/g)(0)?explain.<BR>\n" );
document.write( "e)find f(x+h)-f(x)/h,h is not equal to 0<BR>\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 #578531 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=578531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3x%5E2%2B5 ALIGN=MIDDLE  ALT=\"f%28x%29=3x%5E2%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=7x-2 ALIGN=MIDDLE  ALT=\"g%28x%29=7x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
document.write( "\n" );
document.write( "a)<BR>\n" );
document.write( "verify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%2B2%29%3C%3Eg%28x%29%2Bg%282%29 ALIGN=MIDDLE  ALT=\"g%28x%2B2%29%3C%3Eg%28x%29%2Bg%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x%2B2%29-2%3C%3E7x-2%2B7%282%29-2 ALIGN=MIDDLE  ALT=\"7%28x%2B2%29-2%3C%3E7x-2%2B7%282%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B14-2%3C%3E7x-2%2B14-2 ALIGN=MIDDLE  ALT=\"7x%2B14-2%3C%3E7x-2%2B14-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B12%3C%3E7x%2B10 ALIGN=MIDDLE  ALT=\"7x%2B12%3C%3E7x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "b)<BR>\n" );
document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=f%28x%29-g%28x%29+ ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=f%28x%29-g%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=3x%5E2%2B5-%287x-2%29 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=3x%5E2%2B5-%287x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=3x%5E2%2B5-7x%2B2 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=3x%5E2%2B5-7x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=f%28x%29-g%28x%29+=3x%5E2-7x%2B7 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=f%28x%29-g%28x%29+=3x%5E2-7x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "c) <BR>\n" );
document.write( "using the resulting function in (b), show that <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%282%29=f%282%29-g%282%29 ALIGN=MIDDLE  ALT=\"%28f-g%29%282%29=f%282%29-g%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%282%29%5E2-7%2A2%2B7=3%282%29%5E2%2B5-%287%282%29-2%29 ALIGN=MIDDLE  ALT=\"3%282%29%5E2-7%2A2%2B7=3%282%29%5E2%2B5-%287%282%29-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A4-14%2B7=3%2A4%2B5-%2814-2%29 ALIGN=MIDDLE  ALT=\"3%2A4-14%2B7=3%2A4%2B5-%2814-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12-14%2B7=12%2B5-%2812%29 ALIGN=MIDDLE  ALT=\"12-14%2B7=12%2B5-%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19-14=17-12 ALIGN=MIDDLE  ALT=\"19-14=17-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=5 ALIGN=MIDDLE  ALT=\"5=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "d)<BR>\n" );
document.write( "is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28fg%29%280%29=+%28f%2Fg%29%280%29 ALIGN=MIDDLE  ALT=\"%28fg%29%280%29=+%28f%2Fg%29%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  explain\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A0%5E2%2B5%29%287%2A0-2%29=+%28%283%2A0%5E2%2B5%29%2F%287%2A0-2%29%29 ALIGN=MIDDLE  ALT=\"%283%2A0%5E2%2B5%29%287%2A0-2%29=+%28%283%2A0%5E2%2B5%29%2F%287%2A0-2%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=%280%2B5%29%280-2%29=+%28%280%2B5%29%2F%280-2%29%29 ALIGN=MIDDLE  ALT=\"%280%2B5%29%280-2%29=+%28%280%2B5%29%2F%280-2%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=%285%29%28-2%29=+5%2F-2 ALIGN=MIDDLE  ALT=\"%285%29%28-2%29=+5%2F-2\"   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=-10%3C%3E+5%2F-2 ALIGN=MIDDLE  ALT=\"-10%3C%3E+5%2F-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "both <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3x%5E2%2B5 ALIGN=MIDDLE  ALT=\"f%28x%29=3x%5E2%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=7x-2 ALIGN=MIDDLE  ALT=\"g%28x%29=7x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > have y-intercept; so, if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3x%5E2%2B5 ALIGN=MIDDLE  ALT=\"f%28x%29=3x%5E2%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  will  be equal to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=7x-2 ALIGN=MIDDLE  ALT=\"g%28x%29=7x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > will  be equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "e)<BR>\n" );
document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   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=%283%28x%2Bh%29%5E2%2B5-%283%28x%2Bh%29%5E2%2B5%29%29%2Fh ALIGN=MIDDLE  ALT=\"%283%28x%2Bh%29%5E2%2B5-%283%28x%2Bh%29%5E2%2B5%29%29%2Fh\"   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=%283%28x%5E2%2B2xh%2Bh%5E2%29%2B5-%283%28x%5E2%2B2xh%2Bh%5E2%29%2B5%29%29%2Fh ALIGN=MIDDLE  ALT=\"%283%28x%5E2%2B2xh%2Bh%5E2%29%2B5-%283%28x%5E2%2B2xh%2Bh%5E2%29%2B5%29%29%2Fh\"   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=%283x%5E2%2B6xh%2Bh%5E2%2B5-%283x%5E2%2B6xh%2B3h%5E2%29%2B5%29%2Fh ALIGN=MIDDLE  ALT=\"%283x%5E2%2B6xh%2Bh%5E2%2B5-%283x%5E2%2B6xh%2B3h%5E2%29%2B5%29%2Fh\"   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=%28cross%283x%5E2%29%2Bcross%286xh%29%2Bcross%28h%5E2%29%2Bcross%285%29-cross%283x%5E2%29-cross%286xh%29-cross%283h%5E2%29-cross%285%29%29%2Fh 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=0%2Fh ALIGN=MIDDLE  ALT=\"0%2Fh\"   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=0 ALIGN=MIDDLE  ALT=\"0\"   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" );