
And
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So :

And

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So to find g(x) , we must find the inverse of f(x) .
Let's do it .....


Subtract the sides of the equation minus 1

Divided the sides of the equation by 8

From the sides of the equation, we take the radical with interval 3
![\sqrt[3]{ \frac{y - 1}{8} } = x \\](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7By%20-%201%7D%7B8%7D%20%7D%20%3D%20x%20%5C%5C%20%20)
![\sqrt[3]{ \frac{1}{8}(y - 1) } = x \\](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B1%7D%7B8%7D%28y%20-%201%29%20%7D%20%3D%20x%20%5C%5C%20%20)
![\frac{1}{2} \sqrt[3]{y - 1} = x \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%5Csqrt%5B3%5D%7By%20-%201%7D%20%3D%20x%20%5C%5C%20%20%20)
![\frac{ \sqrt[3]{y - 1} }{2} = x \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7By%20-%201%7D%20%7D%7B2%7D%20%3D%20x%20%5C%5C%20%20)
So ;
![{f}^{ - 1}(x) = \frac{ \sqrt[3]{x - 1} }{2} \\](https://tex.z-dn.net/?f=%20%7Bf%7D%5E%7B%20-%201%7D%28x%29%20%3D%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7Bx%20-%201%7D%20%7D%7B2%7D%20%5C%5C%20%20%20%20)
Now we find g(x) which is :
![g(x) = \frac{ \sqrt[3]{x - 1} }{2} \\](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7Bx%20-%201%7D%20%7D%7B2%7D%20%5C%5C%20%20)
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
OD) 4000
Step-by-step explanation:
Volume of a pentagonal pyramid = Area of base x height
Since every dimension is multiplied by 5,
Area is multiplied by 5² and height by 5
So volume is multiplied by 5^3 = 125
The volume = 125 x 32 = 4000
Answer:
42 cents
Step-by-step explanation:
Data provided in the question:
Random variable i.e gain with values 3,2,1,-1.
Now,
The corresponding probabilities will be as follows:




Expected gain = 
Expected gain = ![(\frac 13)^{3}[3+6+3-(0.7407)]](https://tex.z-dn.net/?f=%28%5Cfrac%2013%29%5E%7B3%7D%5B3%2B6%2B3-%280.7407%29%5D)
![=(\frac 16)^{3}[11.2593]=0.4170](https://tex.z-dn.net/?f=%3D%28%5Cfrac%2016%29%5E%7B3%7D%5B11.2593%5D%3D0.4170)
≈ 42 cents
9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
___
tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
Point slope is y-y1= m(x-x1) where m is slope
Plug the values in:
y-(-8)=3(x-8)
Simplify:
y+8=3(x-8)