document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174507>Question 174507</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618250204/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> find f(g(x)) f(x)= x-10 , g(x)= -2x^2-5<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 #129509 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=129509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find f(g(x)) given f(x)= x - 10 , g(x)= -2x^2 - 5\r<BR>\n" );
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document.write( "You know what g(x) is, right?\r<BR>\n" );
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document.write( "g(x) = -2x^2 - 5\r<BR>\n" );
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document.write( "You want to find f of g(x).\r<BR>\n" );
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document.write( "So, plug the value of g(x), which is (-2x^2 - 5) into the value for f(x), which is (x - 10) and simplify.\r<BR>\n" );
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document.write( "f(g(x)) = (-2x^2 - 5) - 10\r<BR>\n" );
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document.write( "f(g(x)) = -2x^2 - 5 - 10\r<BR>\n" );
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document.write( "f(g(x)) = -2x^2 - 15\r<BR>\n" );
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document.write( "That's it.\r<BR>\n" );
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document.write( "Understood?\r<BR>\n" );
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document.write( "I received your e-mail.\r<BR>\n" );
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document.write( "You want to find the domain of -2x^2 - 15???\r<BR>\n" );
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document.write( "The domain will be all the values that we can safely replace x with in the given function.\r<BR>\n" );
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document.write( "The domain of the function f(g(x)) = -2x^2 - 15 is: ALL REAL NUMBERS.\r<BR>\n" );
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document.write( "You see, we can replace x with any number here without affecting anything regarding the function itself.\r<BR>\n" );
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document.write( "DOMAIN = ALL REAL NUMBERS\r<BR>\n" );
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