Answer:
![\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Bf%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7B7x-5%7D%7B3%7D%7D)
Step-by-step explanation:
Given the function:
![f(x) = \frac{3x+5}{7}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B3x%2B5%7D%7B7%7D)
Put f(x) = y
![y = \frac{3x+5}{7}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3x%2B5%7D%7B7%7D)
Interchange x and y
![x = \frac{3y+5}{7}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3y%2B5%7D%7B7%7D)
Solve for y
![x = \frac{3y+5}{7}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3y%2B5%7D%7B7%7D)
Multiplying both sides by 7
![7x = 3y+5](https://tex.z-dn.net/?f=7x%20%3D%203y%2B5)
Subtracting y to both sides
![7x-5 = 3y](https://tex.z-dn.net/?f=7x-5%20%3D%203y)
Dividing both sides by 3
![\frac{7x-5}{3} = y](https://tex.z-dn.net/?f=%5Cfrac%7B7x-5%7D%7B3%7D%20%3D%20y)
<u>OR</u>
![y = \frac{7x-5}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B7x-5%7D%7B3%7D)
Put y = ![f^{-1}(x)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29)
So,
![f^{-1}(x) = \frac{7x-5}{3}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7B7x-5%7D%7B3%7D)
Hope this helped!
<h2>~AnonymousHelper1807</h2>
The second one
Ex;
2(0)+3=3
2(1)+3=7
Answer: Well, it could be any one. I can't tell without knowing what x is.
Step-by-step explanation:
Answer :
![\frac{2 {x}^{3} + 7 {x}^{2} + 3x - 4}{ {x}^{3} + 3 {x}^{2} + x - 1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%7Bx%7D%5E%7B3%7D%20%20%2B%207%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%204%7D%7B%20%7Bx%7D%5E%7B3%7D%20%20%2B%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20-%201%7D%20)
Step-by-step-explanation :
I did the explanation in the picture.
Answer:
Biggest = 111
Smallest = 0.1^(11) = 0.00000000001
Step-by-step explanation:
The smallest number I believe you can get is 0.1^11 this results in a number of 0.00000000001 and I believe the biggest number is 111.