document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99656>Question 99656</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1.  Find the inverse of the function f(x)=x^1/3+2.\r<BR>\n" );
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document.write( "2.  A bacteria culture started with a count of 720 at 8:00 A.M., and after t hours is expected to grow to f(t)=720(2/3)^t. estimate the number of bacteria in the culture at 11:00A.M. the same day.\r<BR>\n" );
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document.write( "3.  if f(x)=(x+1)(x-4), use interval notation to give all values of x where f(x)>0.\r<BR>\n" );
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document.write( "4.  express as a polynominal: (x+a)(x^2-ax/x). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72526 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=72526\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Find the inverse of the function f(x)=x^(1/3)+2.<BR>\n" );
document.write( "y = x^(1/3) + 2<BR>\n" );
document.write( "Interchange x and y and solve for \"Y\":<BR>\n" );
document.write( "x = y^(1/3)+2<BR>\n" );
document.write( "y^(1/3) = x-2<BR>\n" );
document.write( "y = (x-2)^3<BR>\n" );
document.write( "That is the inverse.<BR>\n" );
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document.write( "2. A bacteria culture started with a count of 720 at 8:00 A.M., and after t hours is expected to grow to f(t)=720(2/3)^t. estimate the number of bacteria in the culture at 11:00A.M. the same day.\r<BR>\n" );
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document.write( "f(t)=720(2/3)^t<BR>\n" );
document.write( "From 8 to 11 is 3 hours<BR>\n" );
document.write( "f(3) = 720(2/3)^3<BR>\n" );
document.write( "f(3) = 720*(8/27) = 213 1/3<BR>\n" );
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document.write( "3.If f(x)=(x+1)(x-4), use interval notation to give all values of x where f(x)>0.<BR>\n" );
document.write( "The boundary of the inequality intervals is x=-1 and x=4<BR>\n" );
document.write( "Draw a Real Number line and plot the values x--1 and x=4<BR>\n" );
document.write( "That breaks the line into three intervals.<BR>\n" );
document.write( "Test a value from each interval in (x+1)(x-4)>0 to find the solution interval(s).<BR>\n" );
document.write( "In (-inf,-1) pick x=-2 ; -*->0 so solutions are in this interval<BR>\n" );
document.write( "In (-1,4) pick x=0 ; +*-<0 so no solutions are in this interval<BR>\n" );
document.write( "In (4,+inf) pick x=5; +*+>0 so solutions are in this interval<BR>\n" );
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document.write( "Final Answer: (-inf,-1)U(4,+inf)<BR>\n" );
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document.write( "4. express as a polynominal: (x+a)(x^2-ax/x).<BR>\n" );
document.write( "=x(x^2-ax/x)+a(x^2-ax/x)<BR>\n" );
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document.write( "Comment:<BR>\n" );
document.write( "I can't tell if x is a denominator of \"a\" or if (x^2-ax).<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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