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>
Answer:
You can do 120 situps
Step-by-step explanation:
45/3=15
15x8=120
120 situps
If you distribute, then you get -10x+7.5
Note how -2.5 times 4x = -10x and how -2.5 times -3 = 7.5
The idea is that you multiply the outer term (-2.5) by each term inside
The LCM of 1842 and 90 is 27630