If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x inches, give a practical interpretation of V^−1(14).

Choices:

-The volume of the water in the tank, in cubic inches, when the height is 14 inches.

-The volume of the water in the tank, in cubic inches, after 14 minutes.

-The height of the water in the tank, in inches, when the volume is 14 cubic inches.

-The height of the water in the tank is 14 inches.

Question

If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x inches, give a practical interpretation of V^−1(14). 

Choices: 

-The volume of the water in the tank, in cubic inches, when the height is 14 inches.

-The volume of the water in the tank, in cubic inches, after 14 minutes.    

-The height of the water in the tank, in inches, when the volume is 14 cubic inches.

-The height of the water in the tank is 14 inches.

anonymous · Answer

Is V^−1(14) the same as $V^{-1}(14)$, which stands for the inverse function V at time t = 14?  Because that makes no sense.

anonymous · Answer

you are picking one of the choices that makes since for the interpretation of V^-1(14)

anonymous · Answer

Well, I am asking you, is your interpretation of V^−1(14) the same as mine?

anonymous · Answer

yes it is the inverse function

dumbcow · Answer

@vf321 , no the input is "x" height of water not time...so then inverse makes sense

dumbcow · Answer

anyway, the inverse basically switches the domain and range or input/output
so if V(x) means Volume as a function of height
then
V^-1 (x) means Height as a function of volume

anonymous · Answer

so its -The height of the water in the tank, in inches, when the volume is 14 cubic inches.

dumbcow · Answer

yep

anonymous · Answer

@dumbcow  that's why I checked.