Answer:
(a)
if 
then 
and if x<0 then 
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.
Step-by-step explanation:
Remember how we define the absolute value of a number.
(a)
In general
Therefore if 
you have two cases, if then and if x<0 then
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.
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)
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
There are 56 minutes for 10 people to paint 7 walls!
20= 1,2,4,5,10,20
36=1,2,3,4,6,9,12,18,36
48=1,2,3,4,6,8,12,16,24,48
