document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68753>Question 68753</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/061849281x/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I understand the function of a domain when f(x) is given along with the equation, but I do not understand how to find the domain of the function.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=1-2x^2<BR>\n" );
document.write( "f(x)=3^sqrt y-10 <BR>\n" );
document.write( "f(x)=4^sqrt x+1/x-2<BR>\n" );
document.write( "Thank you for your help!!!!!<BR>\n" );
document.write( "Christopher </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48953 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=48953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I understand the function of a domain when f(x) is given along with the equation, but I do not understand how to find the domain of the function.<BR>\n" );
document.write( "look for critical points of x ..like division by zero, square root of <BR>\n" );
document.write( "negative number etc...which makes the operation in admissible. they <BR>\n" );
document.write( "are to be eliminated from domain .hence domain is all real numbers except <BR>\n" );
document.write( "those critical points.<BR>\n" );
document.write( "f(x)=1-2x^2<BR>\n" );
document.write( "there is no critical point. hence domain is all real values<BR>\n" );
document.write( "f(x)=3^sqrt y-10<BR>\n" );
document.write( "here sqrt(x-10) is involved.hence domain is all real values of x except<BR>\n" );
document.write( "x<10<BR>\n" );
document.write( "f(x)=4^sqrt x+1/x-2<BR>\n" );
document.write( "same way (x+1)/(x+2)should be >=0....x=-1....or.....<BR>\n" );
document.write( "both x+1 and x+2 should be +ve...hence x>-1<BR>\n" );
document.write( "or<BR>\n" );
document.write( "both x+1 and x+2 should be -ve....hence x<-2<BR>\n" );
document.write( "hence domain is <BR>\n" );
document.write( "x=-1,x>-1,x<-2<BR>\n" );
document.write( "x=[-1,infinity)U(-infinity,-2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you for your help!!!!!<BR>\n" );
document.write( "Christopher </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );