document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=454648>Question 454648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem:\r<BR>\n" );
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document.write( "Show that the function f(x)=1/(x-2) is one-to-one via cketching its graph. Then find its inverse function.\r<BR>\n" );
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document.write( "Thank you very much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312236 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=312236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Show that the function f(x)=1/(x-2) is one-to-one via cketching its graph. Then find its inverse function<BR>\n" );
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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+1%2F%28x-2%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+1%2F%28x-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "As you can see from the graph above, f(x) is a one-to-one function, that is, for each x, there is only one y. To find its inverse, interchange x and y, then solve for y.<BR>\n" );
document.write( "y=1/(x-2)<BR>\n" );
document.write( "x=1/y-2<BR>\n" );
document.write( "xy-2x=1<BR>\n" );
document.write( "f(x)(inverse)=(1+2x)/x </SPAN>\n" );
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