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)
⇒ 
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Ok, so she started off with $5.00.
She bought milk for $2.99.
She buys bread, which costs $1.50.
Subtracting the money she wasted, the total would be $0.51.
The only thing she could buy is 5 pieces of gum for 25 cents.
Her change will be $0.26.
Hope this helps!
Answer:
600 ft³
Step-by-step explanation:
Base area: B
Base is triangle
base = 12 ft and height = 5 ft
Area of triangle = B = 
H = 20 ft
Volume = B * H
= 30 * 20
= 600 ft³
Answer:
Step-by-step explanation:
-2(x + 3) = 8
Multiply -2 with x and 3
-2x -6 = 8
Now add 6 to both sides
-2x -6 = 8
+6 +8
-2x = 16
Lastly divide -2 from both sides to find x
-2x = 16
—— —-
-2x -2x
X = -8
