document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214733>Question 214733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to find the composition of functions! I did 16 problems already with no problem but can't figure this one out.\r<BR>\n" );
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document.write( "g(x)=(2x)^1/2    f(x)=x^2+1        find (Fog)(x)\r<BR>\n" );
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document.write( "I would welcome any help!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162173 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have to find the composition of functions! I did 16 problems already with no problem but can't figure this one out.\r<BR>\n" );
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document.write( "g(x)=(2x)^1/2  and   f(x)=x^2+1.  Then find (Fog)(x)=F(g(x))\r<BR>\n" );
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document.write( "Step 1.  Substitute g(x)=2x^1/2 into f(x) as follows\r<BR>\n" );
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document.write( "Step 2.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282x%5E%281%2F2%29%29=%282x%5E%281%2F2%29%29%5E2%2B1=2x%5E%28%281%2F2%29%2A2%29%2B1=2x%2B1 ALIGN=MIDDLE  ALT=\"f%282x%5E%281%2F2%29%29=%282x%5E%281%2F2%29%29%5E2%2B1=2x%5E%28%281%2F2%29%2A2%29%2B1=2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  ANSWER:  Fog(x)=F(g(x))=2x+1\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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