document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45524>Question 45524</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534373526/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse function of f\r<BR>\n" );
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document.write( "f(x) = sqrt(2x-1)<BR>\n" );
document.write( "y=sqrt(2x-1)<BR>\n" );
document.write( "y^2 = 2x-1<BR>\n" );
document.write( "y^2 + 1 = 2x\r<BR>\n" );
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document.write( "(y^2 +1)/2 = x\r<BR>\n" );
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document.write( "f^-1(x) = y^2 + 1/2\r<BR>\n" );
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document.write( "Thank you so 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 #30244 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=30244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = sqrt(2x-1)<BR>\n" );
document.write( "y=sqrt(2x-1)<BR>\n" );
document.write( "Interchange x and y to get:<BR>\n" );
document.write( "x=sqrt(2y-1)<BR>\n" );
document.write( "Solve for y, as follows:<BR>\n" );
document.write( "x^2=2y-1<BR>\n" );
document.write( "y=(x^2+1)/2<BR>\n" );
document.write( "y=(1/2)x^2 + (1/2) for x>=0<BR>\n" );
document.write( "This is the inverse.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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