document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123823>Question 123823</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356934/algebrahomeworkh>Precalculus Graphical, Numerical, Algebraic</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me answer this question?<BR>\n" );
document.write( "Find f(g(x)) and state its domain. f(x)=x^3,g(x)=3sqrt(1-x^3)<BR>\n" );
document.write( "My answer options:<BR>\n" );
document.write( "A.f(g(x))=sqrtx^3, domain:(neg. infinity, pos. infinity)<BR>\n" );
document.write( "B.f(g(x))=1-x^3, domain:(neg. infinity, pos. infinity)<BR>\n" );
document.write( "c.f(f(x))=0, domain:(-1,1)<BR>\n" );
document.write( "D.f(g(x))=x^3, domain: [-1,1]<BR>\n" );
document.write( "This is written exact.<BR>\n" );
document.write( "Hope you can help me, 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 #90837 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=90837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find f(g(x)) and state its domain. f(x)=x^3,g(x)=cube root(1-x^3)<BR>\n" );
document.write( "My answer options:<BR>\n" );
document.write( "A.f(g(x))=sqrtx^3, domain:(neg. infinity, pos. infinity)<BR>\n" );
document.write( "B.f(g(x))=1-x^3, domain:(neg. infinity, pos. infinity)<BR>\n" );
document.write( "c.f(f(x))=0, domain:(-1,1)<BR>\n" );
document.write( "D.f(g(x))=x^3, domain: [-1,1]<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "f(g(x)) = f[cube root(1-x^3)] = [cube root(1-x^3)]^3 = 1-x^3<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Answer: B<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );