document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=608855>Question 608855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the given function to answer a through f<BR>\n" );
document.write( "f(x)=ln(2x)+5<BR>\n" );
document.write( "a. domain<BR>\n" );
document.write( "b. graph f <BR>\n" );
document.write( "c. determine range and vertical asymptote<BR>\n" );
document.write( "d. find f^-1<BR>\n" );
document.write( "e. find domain and range for f^-1<BR>\n" );
document.write( "f. graph f^-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383714 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=383714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use the given function to answer a through f<BR>\n" );
document.write( "f(x)=ln(2x)+5<BR>\n" );
document.write( "a. domain: (0,&#8734;)<BR>\n" );
document.write( "b. graph f (see graph below)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c. determine range and vertical asymptote<BR>\n" );
document.write( "vertical asymptote: y-axis or x=0<BR>\n" );
document.write( "range: (-&#8734;,&#8734;)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "d. find f^-1<BR>\n" );
document.write( "interchange x and y and solve for y which is the inverse<BR>\n" );
document.write( "x=ln(2y)+5<BR>\n" );
document.write( "x-5=ln(2y)<BR>\n" );
document.write( "convert to exponential form<BR>\n" );
document.write( "e^(x-5)=2y<BR>\n" );
document.write( "y=e^(x-5)/2=f^-1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "e. find domain and range for f^-1<BR>\n" );
document.write( "domain: (-&#8734;,&#8734;)<BR>\n" );
document.write( "range (0,&#8734;)<BR>\n" );
document.write( "Horizontal asymptote: x-axis or y=0<BR>\n" );
document.write( "f. graph f^-1 (see graph below)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+ln%282x%29%2B5%2Ce%5E%28x-5%29%2F2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+ln%282x%29%2B5%2Ce%5E%28x-5%29%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );