document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147786>Question 147786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of g(t)=5^t?    Is the answer t is the set of all real numbers?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108166 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=108166\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Looking at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5%5Et ALIGN=MIDDLE  ALT=\"y=5%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can see that there are no square roots, logs, and other functions where there are restrictions on the domain.\r<BR>\n" );
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document.write( "Also, we can see that the function does not have a division by t (or any combination of variables and constants).<BR>\n" );
document.write( "So we don't have to worry about division by zero.\r<BR>\n" );
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document.write( "Since we don't have any restrictions on the domain, this shows us that the domain is all real numbers. In other words, we can plug in <b>any</b> number in for t\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{t|t\in\mathbb{R}\right}}\">\r<BR>\n" );
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document.write( "In plain English, this reads: t is the set of all real numbers (In other words, t can be <b>any</b> number)\r<BR>\n" );
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document.write( "So you are correct\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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