Posted by tonya on Thursday, February 12, 2009 at 8:32am.
find the vertical asymptotes, if any, of the graph of the rational function
f(x)=x/x(2)+8
When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 87 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 29 cubic inches.
Pressure times Volume is constant in a costant-temperature situation. Let the new pressure be P.
P * 29 = 14 * 87
P = (87/29)*14
Do the calculation.
f(x)=x/x(2)+8
I am going to guess you mean
f(x)=x/(x^2+8)
( the ^ sign is the standard way to indicate an exponent)
Vertical asymptotes result when a division close to zero takes place, so
you are looking at the x2 + 8 part.
but this cannot have a real solution.
since we would have to solve x^2 = -8
so your function has no vertical asymptotes.
56
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