document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=310830>Question 310830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to find the domain.  I have read my materials and I don't understand how to find it.  Here is one of the problems I am trying to do:\r<BR>\n" );
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document.write( "f(x)=___8___<BR>\n" );
document.write( " ..........5x-14<BR>\n" );
document.write( "Could someone please explain how this is done in steps so I can understand how each step works?\r<BR>\n" );
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document.write( "Thank You in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222301 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=222301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am trying to find the domain. I have read my materials and I don't understand how to find it. Here is one of the problems I am trying to do: <BR>\n" );
document.write( "f(x)=___8___<BR>\n" );
document.write( "......5x-14<BR>\n" );
document.write( "Could someone please explain how this is done in steps so I can understand how each step works? <BR>\n" );
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document.write( "In basic algebra there are only 3 conditions that restrict the domaim<BR>\n" );
document.write( "of most functions:<BR>\n" );
document.write( "1: A variable in the denominator which might cause the denominator to<BR>\n" );
document.write( "be undefined.<BR>\n" );
document.write( "2: Even roots of an expression which might result in a non Real Number solution.<BR>\n" );
document.write( "3: logarithm of an expression which might not be positive in value.<BR>\n" );
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document.write( "Note: If none of those three conditions occur in your problem the<BR>\n" );
document.write( "domain is \"All Real Numbers\".<BR>\n" );
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document.write( "That said you see your problem has a variable in the denominator.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "That denominator must not be zero as that would make the fraction undefined.<BR>\n" );
document.write( "So you solve 5x-14 = 0<BR>\n" );
document.write( "x = 14/5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "That value is excluded from the domain.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Final Answer: the domain for your problem is all Real Numbers<BR>\n" );
document.write( "except x = 14/5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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