Answer:
g(x)= ![6(\frac{1}{3})^{-x}](https://tex.z-dn.net/?f=6%28%5Cfrac%7B1%7D%7B3%7D%29%5E%7B-x%7D)
Step-by-step explanation:
a reflection of f(x) = 6(1/3)^x across the y-axis
Given f(x)= ![6(\frac{1}{3})^x](https://tex.z-dn.net/?f=6%28%5Cfrac%7B1%7D%7B3%7D%29%5Ex)
When graph of f(x) reflects across y axis then f(x) becomes f(-x)
For reflection across y axis we replace x with -x
f(x)= ![6(\frac{1}{3})^x](https://tex.z-dn.net/?f=6%28%5Cfrac%7B1%7D%7B3%7D%29%5Ex)
f(-x)= ![6(\frac{1}{3})^{-x}](https://tex.z-dn.net/?f=6%28%5Cfrac%7B1%7D%7B3%7D%29%5E%7B-x%7D)
f(-x) is a reflection across the y axis that is our g(x)
So g(x)= ![6(\frac{1}{3})^{-x}](https://tex.z-dn.net/?f=6%28%5Cfrac%7B1%7D%7B3%7D%29%5E%7B-x%7D)
Answer:
P(not 5) = 5/6
Step-by-step explanation:
There are 6 possible equally likely outcomes {1, 2, 3, 4, 5, 6}. The probabiity of each outcome is 1/6. There are five outcomes in the even "not 5" -- {1, 2, 3, 4, 6}. The probability of the event is 5/6.
Answer: 2 X 2 X 3 X 3 X 5
Step-by-step explanation: please see attachment for explanation