document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183027>Question 183027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the domain of this given function.\r<BR>\n" );
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document.write( "f(x)= |4x+6|\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137396 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=137396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since you can plug in ANY number in for \"x\", this means that the domain is all real numbers. Note: there are no restrictions like dividing by zero or taking the square root of a negative number to worry about here.\r<BR>\n" );
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document.write( "So the domain of the function in set-builder notation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \textrm{\left{x|x\in\mathbb{R}\right}}\">\r<BR>\n" );
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document.write( "In plain English, this reads: x is the set of all real numbers (In other words, x can be <b>any</b> number)\r<BR>\n" );
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document.write( "Also, in interval notation, the domain is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(-\infty,\infty \right)\">\r<BR>\n" );
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document.write( "Note: if you graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=abs%284x%2B6%29 ALIGN=MIDDLE  ALT=\"f%28x%29=abs%284x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you'll see that the graph extends infinitely in both directions along the x-axis. So this shows you that any \"x\" value will work. </SPAN>\n" );
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