document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439741>Question 439741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function defined by f(x)=sqrt(x-2)-1\r<BR>\n" );
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document.write( "a. use algebra to verify that the function is one-to-one.<BR>\n" );
document.write( "b. sketch the graphs of f and f^-1 on the same coordinate axes. Label each graph.\r<BR>\n" );
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document.write( "This area of PreCal is foreign to me and I am in need of help. I would appreciate any help I receive.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303918 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some functions do not have inverses. If a function never takes on the same value twice, then it has inverse. You can tell if a function has an inverse by drawing a horizontal line across its graph. If no horizontal line intersects its graph more than once then it has a one to one relationship and has and inverse.<BR>\n" );
document.write( "In the graphs below the top ((x+2)^2-1) fails the horizontal line test and does not have an inverse. The bottom ((x+2)^3-1) has an inverse because it passes the horizontal line test. For every value of x there is only one value of y. It is one to one.<BR>\n" );
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