document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209169>Question 209169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi all, Im having trouble with the following Function and Domain problem(s).<BR>\n" );
document.write( "The function f is defined by y = f(x) = 2 ln 4x, 0:01 <= x >= 1 .<BR>\n" );
document.write( "(a) Solve for x in terms of y, and hence and the formula for the inverse<BR>\n" );
document.write( "function f^(-1)(x).<BR>\n" );
document.write( "b) Write down the domain of f^(-1)<BR>\n" );
document.write( "Any help would be most appreciated.<BR>\n" );
document.write( "-Nick. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158107 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=158107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function f is defined by y = f(x) = 2 ln 4x, 0:01 <= x >= 1 .<BR>\n" );
document.write( "(a) Solve for x in terms of y, and hence and the formula for the inverse<BR>\n" );
document.write( "function f^(-1)(x).<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "y = 2*ln(4x)<BR>\n" );
document.write( "ln(4x) = y/2<BR>\n" );
document.write( "4x = e^(y/2)<BR>\n" );
document.write( "x = (1/4)e^(y/2)<BR>\n" );
document.write( "Interchange x and y to get the equation of the inverse.<BR>\n" );
document.write( "y = (1/4)e^(x/2)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Do<BR>\n" );
document.write( "b) Write down the domain of f^(-1)<BR>\n" );
document.write( "Since the Range of y = 2*ln(4x) is f(0.01)<y<=f(1) <BR>\n" );
document.write( "which is -6.438 < y < 2.7726<BR>\n" );
document.write( "the Domain of f^-1(x) is -6.438 < x <= 2.7726\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Reply to stanbon@comcast.net or algebra.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );