algebra
posted by tonya .
when the temperature stays the same, the volume of the 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.

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 costanttemperature 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. 
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