Answer: OOF
Step-by-step explanation: that looks hard
Given:
The function is
![f(x)=\dfrac{8\sqrt[3]{x}-8}{9}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7Bx%7D-8%7D%7B9%7D)
To find:
The inverse function
.
Solution:
We have,
![f(x)=\dfrac{8\sqrt[3]{x}-8}{9}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7Bx%7D-8%7D%7B9%7D)
Step 1: Putting f(x)=y, we get
![y=\dfrac{8\sqrt[3]{x}-8}{9}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7Bx%7D-8%7D%7B9%7D)
Step 2: Interchange x and y.
![x=\dfrac{8\sqrt[3]{y}-8}{9}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7By%7D-8%7D%7B9%7D)
Step 3: Isolate variable y.
![9x=8\sqrt[3]{y}-8](https://tex.z-dn.net/?f=9x%3D8%5Csqrt%5B3%5D%7By%7D-8)
![9x+8=8\sqrt[3]{y}](https://tex.z-dn.net/?f=9x%2B8%3D8%5Csqrt%5B3%5D%7By%7D)
![\dfrac{9x+8}{8}=\sqrt[3]{y}](https://tex.z-dn.net/?f=%5Cdfrac%7B9x%2B8%7D%7B8%7D%3D%5Csqrt%5B3%5D%7By%7D)
Taking cube on both sides, we get
![\left(\dfrac{9x+8}{8}\right)^3=y](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B9x%2B8%7D%7B8%7D%5Cright%29%5E3%3Dy)
![y=\left(\dfrac{9x+8}{8}\right)^3](https://tex.z-dn.net/?f=y%3D%5Cleft%28%5Cdfrac%7B9x%2B8%7D%7B8%7D%5Cright%29%5E3)
Step 4: Putting
, we get
![f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cleft%28%5Cdfrac%7B9x%2B8%7D%7B8%7D%5Cright%29%5E3)
Therefore, the correct option is C.
Answer:
ay math
Step-by-step explanation:
waay ko na kabalo dai mayo tani kung lain lang nga subject
Answer:
dont khan academy
Step-by-step explanation:
idk
why
u
cheet
Answer: 12 hours and 24 Minutes
Step-by-step explanation:
7*60 = 420
810/420 = 1.9285
93- 100 = 53-60
subtract 40 from 93.
1.53*8 = 12.24
Answer: 12 hours and 24 Minutes