Answer:
In this problem, we are given the following functions:
![f(x)=\frac{1}{2}x](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B2%7Dx)
and its inverse function:
![f^{-1}(x)=2x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D2x)
First of all, we want to calculate
. This can be obtained by substituting
x = 2
into f(x). Doing so, we find:
![f(2)=\frac{1}{2}\cdot 2 = 1](https://tex.z-dn.net/?f=f%282%29%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%202%20%3D%201)
Then we want to calculate
. We can do it by substituting
x = 1
into
. Doing so,
![f^{-1}(1)=2\cdot 1 = 2](https://tex.z-dn.net/?f=f%5E%7B-1%7D%281%29%3D2%5Ccdot%201%20%3D%202)
Then we want to calculate
, which can be found by calculating f(2) and then using it as input for
We know that
f(2) = 1
Therefore,
![f^{-1}(f(2))=f^{-1}(1)=2](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28f%282%29%29%3Df%5E%7B-1%7D%281%29%3D2)
Then we want to calculate
, which can be calculated by plugging
x = -2
into
. Doing so,
![f^{-1}(-2)=2\cdot (-2)=-4](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28-2%29%3D2%5Ccdot%20%28-2%29%3D-4)
Then we want to calculate
; by substituting
x = 4
into f(x), we find
![f(-4)=\frac{1}{2}\cdot (-4)=-2](https://tex.z-dn.net/?f=f%28-4%29%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%28-4%29%3D-2)
Finally, we want to find ![f(f^{-1}(-2))](https://tex.z-dn.net/?f=f%28f%5E%7B-1%7D%28-2%29%29)
We know already that
![f^{-1}(-2)=-4](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28-2%29%3D-4)
So we have:
![f(f^{-1}(-2))=f(-4)=-2](https://tex.z-dn.net/?f=f%28f%5E%7B-1%7D%28-2%29%29%3Df%28-4%29%3D-2)
How man bags were used?
41 / 3 = 13.7
We can say about 14 bags by rounding to the nearest whole number. Therefore, 14 bags were used.
You correct the answer is 894.09
Answer:
the volume of a cone = 1589.625feet³
Step-by-step explanation:
given that the diameter of the cone = 15inches
radius = 15inches/2 = 7.5inches
height of the cone = 27 inches
volume of the cone = ?
recall that
the formulae for finding the volume of a cone is given to be
= 1/3πr²h
the volume of a cone = πr² h/3
the volume of a cone = 3.14 × ( 7.5)² × 27/3
the volume of a cone = (3.14 x 56.25 x27)/3
the volume of a cone = 4768.875/3
the volume of a cone = 1589.625feet³
Answer:
8 and 4
Step-by-step explanation:
You find half of the sum and subtract half of the differece for 6 and the other 6 you add the hal of the difference.