document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=639388>Question 639388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that a(x)=x^2-5 and b(x)=6x+1<BR>\n" );
document.write( "Evaluate (aob)(x)   and  (boa)(x)\r<BR>\n" );
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document.write( "I understand that this is (fog)(x) and (gof)(x)<BR>\n" );
document.write( "So a(b(x)) is how I should insert the functions, but I'm not sure if I'm doing it right?  Please help,<BR>\n" );
document.write( "Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402716 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=402716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The idea is to start with the outer function first. Then replace the input with the inner function.\r<BR>\n" );
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document.write( "a(x) = x^2-5\r<BR>\n" );
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document.write( "a(b(x)) = (b(x))^2-5 ... Replace ALL 'x' terms with b(x)\r<BR>\n" );
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document.write( "a(b(x)) = (6x+1)^2-5 ... Replace b(x) on the right side with 6x+1 (since b(x) = 6x+1)\r<BR>\n" );
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document.write( "I'll let you expand and simplify this.\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "Now we reverse what we just did \r<BR>\n" );
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document.write( "b(x)=6x+1\r<BR>\n" );
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document.write( "b(a(x))=6(a(x))+1\r<BR>\n" );
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document.write( "b(a(x))=6(x^2-5)+1\r<BR>\n" );
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document.write( "I'll let you simplify.<BR>\n" );
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