document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312796>Question 312796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP:<BR>\n" );
document.write( "Given 2 functions f(x)-2x-5 and g(x)=x^2. Determine whether each of the following statements is true or false and why.<BR>\n" );
document.write( "a)   f(x)+g(x)= g(x)+f(x)<BR>\n" );
document.write( "b)   f(x)-g(x)= g(x)-f(x)<BR>\n" );
document.write( "c)   f(2)+f(3)= f(5)<BR>\n" );
document.write( "d)   f(0) is always equal to zero<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 #223665 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=223665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> HELP:<BR>\n" );
document.write( "Given 2 functions f(x)-2x-5 and g(x)=x^2. Determine whether each of the following statements is true or false and why.<BR>\n" );
document.write( "a) f(x)+g(x)= g(x)+f(x)<BR>\n" );
document.write( "b) f(x)-g(x)= g(x)-f(x)<BR>\n" );
document.write( "c) f(2)+f(3)= f(5)<BR>\n" );
document.write( "d) f(0) is always equal to zero\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)= 2x - 5<BR>\n" );
document.write( "g(x)= x^2<BR>\n" );
document.write( "f(x) + g(x) = x^2 + 2x - 5<BR>\n" );
document.write( "f(x) - g(x) = -x^2 + 2x - 5<BR>\n" );
document.write( "g(x) + f(x) = x^2 + 2x - 5<BR>\n" );
document.write( "g(x) - f(x) = x^2 - 2x + 5<BR>\n" );
document.write( "f(2) = 2(2) - 5 = 4 - 5 = -1<BR>\n" );
document.write( "f(3) = 2(3) - 5 = 6 - 5 = 1<BR>\n" );
document.write( "f(5) = 2(5) - 5 = 10 - 5 = 5<BR>\n" );
document.write( "f(2) + f(3) = -1 + 1 = 0<BR>\n" );
document.write( "f(0) = 2(0) - 5 = -5<BR>\n" );
document.write( "a) f(x)+g(x) = g(x)+f(x) --> true, no signs changed<BR>\n" );
document.write( "b) f(x)-g(x) = g(x)-f(x) --> false, the signs are different<BR>\n" );
document.write( "c) f(2)+f(3)= f(5) --> false, f(5) is 5, and f(2)+f(3)=0<BR>\n" );
document.write( "d) f(0) is always equal to zero --> false, f(0) is -5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );