document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326238>Question 326238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (a) Find the domain and range of the function f(x) = log(8x).\r<BR>\n" );
document.write( "\n" );
document.write( "(b) Find the inverse of f(x) = log(x).<BR>\n" );
document.write( "f -1(x) = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233531 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=233531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) Find the domain and range of the function f(x) = log(8x).<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Domain?<BR>\n" );
document.write( "8x must be >0, so x must be > 0<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Domain: All real Numbers greater than zero.<BR>\n" );
document.write( "==================================================<BR>\n" );
document.write( " <BR>\n" );
document.write( "(b) Find the inverse of f(x) = log(x).<BR>\n" );
document.write( "Interchange x and y to get:<BR>\n" );
document.write( "x = log(y)<BR>\n" );
document.write( "Solve for \"y\":<BR>\n" );
document.write( "y = 10^x<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "f -1(x) = 10^x<BR>\n" );
document.write( "==================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );