Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
<u>1)</u>
<u>Let's find f[g(x)] and simplify.</u>
![f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%5Cfrac%7B1%7D%7B2%7Dg%28x%29%2B%5Cfrac%7B3%7D%7B2%7D)
![f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%5Cfrac%7B1%7D%7B2%7D%284-%5Cfrac%7B3%7D%7B2%7Dx%29%2B%5Cfrac%7B3%7D%7B2%7D)
![f[g(x)]=\frac{7}{2}-\frac{3}{4}x](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%5Cfrac%7B7%7D%7B2%7D-%5Cfrac%7B3%7D%7B4%7Dx)
As f[g(x)] is not equal to x, these functions are not inverses.
2)
<u>Let's find f[g(x)] and simplify.</u>
![f[g(n)]=\frac{-16+(4n+16)}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B-16%2B%284n%2B16%29%7D%7B4%7D)
![f[g(n)]=\frac{-16+4n+16}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B-16%2B4n%2B16%7D%7B4%7D)
![f[g(n)]=\frac{4n}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B4n%7D%7B4%7D)
![f[g(n)]=n](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3Dn)
Now, we need to find the other composition function g[f(x)]
<u>Let's find g[f(x)] and simplify.</u>
![g[f(x)]=4(\frac{-16+n}{4})+16](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D4%28%5Cfrac%7B-16%2Bn%7D%7B4%7D%29%2B16)
![g[f(x)]=-16+n+16](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D-16%2Bn%2B16)
![g[f(x)]=n](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3Dn)
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
The answer is 1000 cubic feet either. The reason for that is fallowing:
Imagine you cut cube 2 peaces so that your cut is normal to bases and it passes throught both bases. If you take those 2 pieces and switch their position and stick one to another you will get non tilted original cube.
what you can conclude from this is that tilting doesnt influence volume if bases and height remain the same.
You didn’t put the image no one can help you you should repost it with the image
Answer:
Yes
Step-by-step explanation:
A full can of tuna has a certain amount in it, if a portion is removed from the can it is therefore subtracted from the total amount. This means that Joey's work is correct and the tuna can would have
5.5 oz - 2.88 oz = 2.62 oz
The best way to tell if his work is correct would be to weigh the remaining tuna in the can and see if it matches Joey's answer.
Answer:
Only one says the mean s higher than the median, so choose that one.
Step-by-step explanation:
Putting them in order gets yout he following list
$99,000
$106,000
$122,000
$124,000
$130,000
$131,000
$114,000
$497,000
$450,000
The average changes if you increase or decrease any of the prices, thought he median does not unless you mess witht he middle value 130,000. Since it mentions the outliers lets look at those. The outliers are the last two because they are more than 3 times the next highest. So, increasing or decreasing these will effet the average in the same way. Also, keep in mind what the median is, and if the verage as is is higher or lower than it., that pretty much answers your question.
