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, ∞).
Answer:
graph A
Step-by-step explanation:
if you use the substitution method is graph A
8,160 ÷ 85 = <span>96
2,880 </span>÷ 30 = 96
SO, Camilla can make 96 necklaces.
Hope I helped:P
Answer:
![x\leq 9](https://tex.z-dn.net/?f=x%5Cleq%209)
Step-by-step explanation:
Subtract 7 From both sides
![x+7-7\le \:16-7](https://tex.z-dn.net/?f=x%2B7-7%5Cle%20%5C%3A16-7)
7-7 = 0, 16 - 7=9
That leaves ![x \leq 9](https://tex.z-dn.net/?f=x%20%5Cleq%20%209)
Hope this helps
~R3V0