Answer:
(1) ![g[f(x)]=\frac{8x-1}{12x-4}](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D%5Cfrac%7B8x-1%7D%7B12x-4%7D)
(2) 
(3) 
Step-by-step explanation:
Given functions f(x) = (4x-1)
are 
(1) ![g[f(x)]=\frac{2(4x-1)+1}{3(4x-1)-1}](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D%5Cfrac%7B2%284x-1%29%2B1%7D%7B3%284x-1%29-1%7D)


(2) for
, rewrite the function g(x) in terms of an equation

Substitute y in place of x and x in place of y, then solve for y.

(3y-1)x = 2y+1
3xy - x = 2y + 1
3xy - 2y = x + 1
y(3x-2) = x + 1

⇒ 
(3) ![f[g(x)]=(x-1)](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%28x-1%29)
![f[g(x)]=4[\frac{2x+1}{3x-1}] =(x-1)](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D4%5B%5Cfrac%7B2x%2B1%7D%7B3x-1%7D%5D%20%3D%28x-1%29)
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 



Answer:
e. 0.08
Step-by-step explanation:
In the question above, a certain quantity of goods was supplied while a specific quantity of goods was sold per week. In a given week, if the number of proportion sold is X, therefore:
f(x) = {Γ(4+2)/Γ(4)Γ(2) x^3 (1-x), 0≤x≤1 ; 0, elsewhere
and
P(X greater than 0.9) =
= 20*{(y^4/4)[1,0.9] - (y^5/5)[1,0.9]} = 20*{(0.25 - 0.164) - (0.20 - 0.118)} = 20*{0.086 - 0.0819} = 20*0.0041 = 0.082
Therefore the probability of the proportion sold is approximately 0.082
The answer would be letter b
Answer:

Step-by-step explanation:
Given

Required
Evaluate when n = 12
Substitute 12 for n in 

Simplify the fraction


Once upon a time there was a guy named Jeff. he went to a new school where he moved. so he was all by himself with no friends at all.. so then he met this guy named Zac so it was 1+1=2. and they were bff so they lived happily ever after together being bffs