document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978200>Question 978200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The one to one function f is defined on the domain x>0 by f(x) = (2x-1)/(x+2).<BR>\n" );
document.write( "A) State the range, A, of f.<BR>\n" );
document.write( "B) Obtain an expression for f^(-1) (x) for x&#8712;A.\r<BR>\n" );
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document.write( "I am assuming that the letter A is only a variable used to represent the range of f(x). If that is the case, how can an expression be made for the inverse function? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599665 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=599665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Af%5E%28-1%29-1%29%2F%28f%5E%28-1%29%2B2%29=x ALIGN=MIDDLE  ALT=\"%282%2Af%5E%28-1%29-1%29%2F%28f%5E%28-1%29%2B2%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(wants more help)\r<BR>\n" );
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document.write( "That expression is essentially switching the places or roles of x and y.  You want a function that will give you x.\r<BR>\n" );
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document.write( "Try not using the \"...to the negative one power\" type notation.  You want a function g(x) so that f(x) and g(x) will undo each other.  That means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=f%28g%28x%29%29=x ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=f%28g%28x%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You have your specific definition for f(x).  You want to use some other function g(x) AS INPUT to f(x) and the OUTPUT must be x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28g%28x%29=YouNotYetKnow%2Cf%28x%29=%282x-1%29%2F%28x%2B2%29%2Cf%28g%28x%29%29=x%29 ALIGN=MIDDLE  ALT=\"system%28g%28x%29=YouNotYetKnow%2Cf%28x%29=%282x-1%29%2F%28x%2B2%29%2Cf%28g%28x%29%29=x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Form that last-specified composition:<BR>\n" );
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document.write( "Solve that equation for g(x).<BR>\n" );
document.write( "The inverse of f(x) will be g(x). </SPAN>\n" );
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