document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31110>Question 31110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the function f(x)=x-2/x^2-x-20.  How do I even begin to do this problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17822 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17822\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SEE THE FOLLOWING AND TRY\r<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Graphs/30529: Obtain the domain and range for the following equation:<BR>\n" );
document.write( "y= 3x-7/2x+8<BR>\n" );
document.write( "1 solutions<BR>\n" );
document.write( "Answer 17160 by venugopalramana(1167) About Me  on 2006-03-16 23:39:56 (Show Source):<BR>\n" );
document.write( "IS IT ...y= (3x-7)/(2x+8)....PLEASE PUT BRACKETS TO MAKE IT CLEAR....AS YOU PUT IT ,IT MAY MEAN<BR>\n" );
document.write( "1...y= (3x)-7/(2x)+8...OR<BR>\n" );
document.write( "2...y= (3x)-(7/2)x+ 8....OR<BR>\n" );
document.write( "3...y= (3x) - 7/(2x) + 8........ETC.....<BR>\n" );
document.write( "GOING BY y= (3x-7)/(2x+8)....SINCE DIVISION BY ZERO IS PROHIBITED IN MATHS...DOMAIN IS RESTRICTED BY 2X+8=0 OR X=-4...SO ALL VALUES OF X<BR>\n" );
document.write( "EXCEPT X=-4 IS THE DOMAIN.....<BR>\n" );
document.write( "FOR THIS DOMAIN WE FIND THAT AS X TENDS TO INFINITY...<BR>\n" );
document.write( "Y TENDS TO 3/2...SINCE<BR>\n" );
document.write( "y= (3x-7)/(2x+8) = {3-(7/X)}/{2+8/X)}...AS X TENDS TO INFINITY ....<BR>\n" );
document.write( "Y= (3-0)/(2+0)=3/2<BR>\n" );
document.write( "SO RANGE IS 3/2 TO INFINITY AS X VARIES FROM - INFINITY TO -4 AND<BR>\n" );
document.write( "3/2 TO -INFINITY AS X VARIES FROM -4 TO INFINITY.<BR>\n" );
document.write( "SEE GRAPH BELOW TO UNDERSTAND<BR>\n" );
document.write( "graph( 600, 600, -50, 50, -5, 5, (3x-7)/(2x+8))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "------------------------------------------------------------------------------<BR>\n" );
document.write( "Functions/30706: find all real numbers excluded from the domain of<BR>\n" );
document.write( "{ { { f(x)= 16x^2-9/20x^2-23x+6 } } }<BR>\n" );
document.write( "then give the domain using set notation.<BR>\n" );
document.write( "1 solutions<BR>\n" );
document.write( "Answer 17459 by venugopalramana(1167) About Me  on 2006-03-19 22:35:18 (Show Source):<BR>\n" );
document.write( "find all real numbers excluded from the domain of<BR>\n" );
document.write( "{ { { f(x)= 16x^2-9/20x^2-23x+6 } } }<BR>\n" );
document.write( "then give the domain using set notation.<BR>\n" );
document.write( "f(x)= 16x^2-9/20x^2-23x+6<BR>\n" );
document.write( "={(4X)^2-(3)^2}/{20X^2-8X-15X+6}<BR>\n" );
document.write( "=(4X-3)^2/{4X(5X-2)-3(5X-2)}<BR>\n" );
document.write( "=(4X-3)^2/(4X-3)(5X-2)<BR>\n" );
document.write( "HENCE THE DOMAIN IS ALL REAL NUMBERS EXCEPT 4X-3=0..OR...4X=3...OR..X=3/4 AND<BR>\n" );
document.write( "5X-2=0...OR....5X=2...OR....X=2/5.......<BR>\n" );
document.write( "HENCE DOMAIN OF F(X)={X E R (X IS NOT EQUAL TO 3/4 AND 2/5)} </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );