document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838749>Question 838749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> consider the function f(x)=x^3-4 and g(x)=3 sqrt x+4\r<BR>\n" );
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document.write( "a. find f(g(x))<BR>\n" );
document.write( "b. find g(f(x))<BR>\n" );
document.write( "c. determine whether the functions f and g are inverses of each other\r<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 #505299 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=505299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see the following:<BR>\n" );
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document.write( "f(g(x)) = x and g(f(x) = x<BR>\n" );
document.write( "this makes f(x) and g(x) inverse functions of each other.<BR>\n" );
document.write( "to find the inverse of x^3 - 4, do the following:<BR>\n" );
document.write( "start with:<BR>\n" );
document.write( "y = x^3 - 4<BR>\n" );
document.write( "replace x with y and y with x to get:<BR>\n" );
document.write( "x = y^3 - 4<BR>\n" );
document.write( "solve for y by doing the following:<BR>\n" );
document.write( "add 4 to both sides of the equation to get:<BR>\n" );
document.write( "x + 4 = y^3<BR>\n" );
document.write( "take the cube root of both sides of the equation to get:<BR>\n" );
document.write( "cube root of (x + 4) = y<BR>\n" );
document.write( "commute this equation to get:<BR>\n" );
document.write( "y = cube root of (x + 4) which looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx%2B4%29 ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > when sent through the algebra.com formula generator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+root%283%2Cx%2B4%29 ALIGN=MIDDLE  ALT=\"y+=+root%283%2Cx%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as g(x).<BR>\n" );
document.write( "they are both inverse functions to f(x).\r<BR>\n" );
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