Do both as equation it will make it easier for her
we are given
![f(x)=\frac{1}{9x-2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B9x-2%7D)
For finding inverse function , we do following steps
step-1:
Set f(x)=y
![y=\frac{1}{9x-2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B9x-2%7D)
step-2:
Switch x and y
![x=\frac{1}{9y-2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B9y-2%7D)
step-3:
now, we can solve for y
![x=\frac{1}{9y-2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B9y-2%7D)
Multiply both sides by 9y-2
![x\times (9y-2)=(9y-2)\times \frac{1}{9y-2}](https://tex.z-dn.net/?f=x%5Ctimes%20%289y-2%29%3D%289y-2%29%5Ctimes%20%5Cfrac%7B1%7D%7B9y-2%7D)
![x(9y-2)=1](https://tex.z-dn.net/?f=x%289y-2%29%3D1)
![9xy-2x=1](https://tex.z-dn.net/?f=9xy-2x%3D1)
Add both sides by 2x
![9xy-2x+2x=2x+1](https://tex.z-dn.net/?f=9xy-2x%2B2x%3D2x%2B1)
![9xy=2x+1](https://tex.z-dn.net/?f=9xy%3D2x%2B1)
now, we can divide both sides by 9x
![y=\frac{2x+1}{9x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2x%2B1%7D%7B9x%7D)
so, we get inverse function as
................Answer
Answer:
V = 42.205579896995 in3
Step-by-step explanation:
Answer:
this is your ans.. i hope it is helpfull