Answer: 8
Step-by-step explanation:

Answer:
The inverse of function
is ![\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%5E%7B-1%7D%20%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D%2B7%7D)
Option A is correct option.
Step-by-step explanation:
For the function
, Find 
For finding inverse of x,
First let:

Now replace x with y and y with x

Now, solve for y
Taking 5th square root on both sides
![\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%7D%3D%5Csqrt%5B5%5D%7B%28y%2B7%29%5E5%7D%5C%5C%5Csqrt%5B5%5D%7Bx%7D%3Dy%2B7%5C%5C%3D%3E%20y%2B7%3D%5Csqrt%5B5%5D%7Bx%7D%5C%5Cy%3D%5Csqrt%5B5%5D%7Bx%7D-7)
Now, replace y with 
![f^{-1} (x)=\sqrt[5]{x}+7](https://tex.z-dn.net/?f=f%5E%7B-1%7D%20%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D%2B7)
So, the inverse of function
is ![\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%5E%7B-1%7D%20%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D%2B7%7D)
Option A is correct option.
Answer:
this is the answer and the work btw I just took a screenshot this I have way better handwriting
Answer:
1. $8.30
Step-by-step explanation:
so 3 hats were purchased and each cost 15.50 so
15.50*3=46.50
and the rest of the 96.30 is 6 keychains so
96.30-46.50=49.80
and there is 6 keychains
49.80/6=8.30
Each key chain was $8.30
Claire's answer is unreasonable because when we got the price of the keychains all together in Claire's mind the total for the keychains would be $4.98, which we clearly got the total for the keychains at $49.80.
We know that
<span>the probability of the Galaxy team winning is 22%------> 0.22
</span>the probability of the Galaxy team losing is 100%-22%----> 78%-----> 0.78
<span>the probability of the Komets team winning is 47%------> 0.47
</span>the probability of the Komets team losing is 100%-47%----> 53%-----> 0.53
therefore
<span>the probability of the comets losing their race and the galaxy winning theirs is
0.53*0.22=0.1166------> 11.66%
the answer is
11.66%</span>