document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63096>Question 63096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of the function f(x)= 4/x+7, what is the range of f(x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43919 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=43919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = 4/(x+7)\r<BR>\n" );
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document.write( "that is y = 4/(x+7)\r<BR>\n" );
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document.write( "First we interchange x and y\r<BR>\n" );
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document.write( "==> x = 4/(y+7)\r<BR>\n" );
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document.write( "==> x(y+7) = 4<BR>\n" );
document.write( "==> xy + 7x = 4<BR>\n" );
document.write( "==> xy = 4 - 7x<BR>\n" );
document.write( "==> xy/x = (4-7x)/x<BR>\n" );
document.write( "==> y = (4-7x)/x\r<BR>\n" );
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document.write( "The inverse of the given function is f^(-1) (x) = (4-7x)/x\r<BR>\n" );
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document.write( "We see the above is not defined at x = 0\r<BR>\n" );
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document.write( "So range of the given function is all real numbers except 0.<BR>\n" );
document.write( "Range = R - {0}\r<BR>\n" );
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document.write( "Good Luck!!! </SPAN>\n" );
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