document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034385>Question 1034385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x) = 2x^2 - 1 and h(x) = 18x^4 - 24x^2 + 7, determine a formula for g(x) such that f &#8728; g = h </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649024 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=649024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  If f(x) = 2x^2 - 1 and h(x) = 18x^4 - 24x^2 + 7, determine a formula for g(x) such that f &#8728; g = h <BR>\n" );
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document.write( "f[g(x)] = h(x)<BR>\n" );
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document.write( "2(g(x))^2 -1 = 18x^4 - 24x^2 + 7<BR>\n" );
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document.write( "g(x)^2 = [18x^4-24x^2+7 + 1]/2 = 9x^4 - 12x^2 + 4<BR>\n" );
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document.write( "Take the square root to get:<BR>\n" );
document.write( "g(x) = (3x^2 - 2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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