document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=482617>Question 482617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=7x+9/sqrt 10x-25-x<BR>\n" );
document.write( "find the domain of the function. I am having a hard time figuring out the steps to solve this type of equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330357 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><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/cgi-bin/show-face.mpl?user=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=330357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am not sure how your example is supposed to read; I am going to assume you want a set of parnethesis around the 25-x, and the resulting equation to be:\r<BR>\n" );
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document.write( "7x+ 9 / <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810x+-%2825+-+x%29%29 ALIGN=MIDDLE  ALT=\"sqrt%2810x+-%2825+-+x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the key here is that you do not want 10x-(25-x) to be zero or less than zero, as you don't want a negative square root.<BR>\n" );
document.write( "In effect, it comes down to 10x -(25 -x) > 0.<BR>\n" );
document.write( "10x -25 + x > 0<BR>\n" );
document.write( "11x > 25<BR>\n" );
document.write( "x > 25/11. <BR>\n" );
document.write( "Your answer is the set of all real numbers  > 25/11, because the square root of a negative number is not a real number.<BR>\n" );
document.write( "Cleomenius. </SPAN>\n" );
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