1. kg
2. m
3. cm3
4.g
5. ml
6.cm
7. mm
8.g
9.12 feet
10. 8 quartz
11. 1kg
12. 1 metre
Answer:
4:7 and 12:21
Step-by-step explanation:
If the functions are inverses, then f(g(x)) = x.
A.
![\displaystyle f(g(x))=f\left(\frac{3x+1}{3}\right)=\frac{1}{\frac{3x+1}{x}-3}\\\\=\frac{1}{\left(\frac{3x+1-3x}{x}\right)}=\frac{1}{\left(\frac{1}{x}\right)}=x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28g%28x%29%29%3Df%5Cleft%28%5Cfrac%7B3x%2B1%7D%7B3%7D%5Cright%29%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B3x%2B1%7D%7Bx%7D-3%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B%5Cleft%28%5Cfrac%7B3x%2B1-3x%7D%7Bx%7D%5Cright%29%7D%3D%5Cfrac%7B1%7D%7B%5Cleft%28%5Cfrac%7B1%7D%7Bx%7D%5Cright%29%7D%3Dx)
The functions are inverses of each other.
B. The domain of f(x) = x≠3. The domain of g(x) is x≠0.
The domain of f(g(x)) is (-∞, 0) ∪ (0, ∞).
The domain of g(f(x)) is (-∞, 3) ∪ (3, ∞).
The decimal would be 0.375. XD