Answer:
hello :
8(3/4a)−8 = 24/4a - 8 = 6/a -8 = (6-8a)/a
Answer:
-0.003 %Fahrenheit
Step-by-step explanation:
5^9
Or you can just put 5 times 9 and it gives your 45
Answer:When you multiply a negative number to a positive number, your answer is a negative number. It doesn't matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.
Step-by-step explanation:
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.