document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115347>Question 115347</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the domain of the following:\r<BR>\n" );
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document.write( "h(x)= 3x^2+5x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83977 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=83977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The domain of a function of x is the spectrum of values that x can take.<BR>\n" );
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document.write( "The given function is shown in the following graph:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C+-30%2C+30%2C+-10%2C+50%2C+3x%5E2+%2B5x+-+3%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C+-30%2C+30%2C+-10%2C+50%2C+3x%5E2+%2B5x+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice that there are no unusual happenings with this function. As x gets bigger and bigger <BR>\n" );
document.write( "in the positive direction, the graph will just continue getting bigger and bigger in the<BR>\n" );
document.write( "upward direction. And as x goes more and more in the negative direction, the graph will again<BR>\n" );
document.write( "get bigger and bigger in the upward direction. For every value of x on the x-axis there<BR>\n" );
document.write( "will be a single corresponding value on the graph of the function.<BR>\n" );
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document.write( "Therefore, you can say that the values that x will be allowed to take (that is the domain<BR>\n" );
document.write( "of x) are all real numbers from minus infinity to positive infinity.<BR>\n" );
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document.write( "Hope this helps you to understand what is meant by the domain of x and how you can look<BR>\n" );
document.write( "at it. If you are given a function of x that involves a square root of a term involving<BR>\n" );
document.write( "x or a denominator that is a function of x, be careful. Remember that the square root can only<BR>\n" );
document.write( "be taken for a positive quantity, and a denominator cannot be zero because division<BR>\n" );
document.write( "by zero is not allowed. These are the types of things that can affect what values that<BR>\n" );
document.write( "the domain of x cannot include. But this problem did not involve any limits such as these.<BR>\n" );
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