Answer: Second Option
and ![g(x)=\frac{2}{x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B2%7D%7Bx%7D)
Step-by-step explanation:
If we have a function f(x) and its inverse function ![f ^ {- 1} (x) = g (x)](https://tex.z-dn.net/?f=f%20%5E%20%7B-%201%7D%20%28x%29%20%3D%20g%20%28x%29)
Then by definition:
![(fog) (x) = (gof) (x) = x](https://tex.z-dn.net/?f=%28fog%29%20%28x%29%20%3D%20%28gof%29%20%28x%29%20%3D%20x)
Notice that the inverse of the function
is ![f ^ {- 1}(x)=\frac{2}{x}](https://tex.z-dn.net/?f=f%20%5E%20%7B-%201%7D%28x%29%3D%5Cfrac%7B2%7D%7Bx%7D)
then:
If
and ![g(x)=\frac{2}{x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B2%7D%7Bx%7D)
Then:
![(fog) (x) =\frac{2}{\frac{2}{x}}](https://tex.z-dn.net/?f=%28fog%29%20%28x%29%20%3D%5Cfrac%7B2%7D%7B%5Cfrac%7B2%7D%7Bx%7D%7D)
![(fog) (x) =\frac{2x}{2}](https://tex.z-dn.net/?f=%28fog%29%20%28x%29%20%3D%5Cfrac%7B2x%7D%7B2%7D)
![(fog) (x) =x](https://tex.z-dn.net/?f=%28fog%29%20%28x%29%20%3Dx)
The answer is the second option
A = x + 5
B = x - 5
Top angle = 108 degrees
256/625 is the answer I believe
If I ran 5 times last week, the miles covered is ![23\frac{3}{4}\,\,miles](https://tex.z-dn.net/?f=23%5Cfrac%7B3%7D%7B4%7D%5C%2C%5C%2Cmiles)
Option C is correct.
Step-by-step explanation:
Miles ran in park each day= ![4\frac{3}{4}](https://tex.z-dn.net/?f=4%5Cfrac%7B3%7D%7B4%7D)
We need to find how much distance you ran 5 times last week.
Miles covered in 1 day = ![\frac{19}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B4%7D)
Miles covered in 5 days = ![\frac{19}{4}*5](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B4%7D%2A5)
Miles covered in 5 days = ![\frac{95}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B95%7D%7B4%7D)
Miles covered in 5 days = ![23\frac{3}{4}\,\,miles](https://tex.z-dn.net/?f=23%5Cfrac%7B3%7D%7B4%7D%5C%2C%5C%2Cmiles)
So, if I ran 5 times last week, the miles covered is ![23\frac{3}{4}\,\,miles](https://tex.z-dn.net/?f=23%5Cfrac%7B3%7D%7B4%7D%5C%2C%5C%2Cmiles)
Option C is correct.
Keywords: Word Problems
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