
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)
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And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
First distribute in the 2 on the left side to get 6d+6=7+6d
Then, you would combine the variables to be on one side of the equation by doing -6d. However, this would cancel out the d by leaving you with 0d+6=7. That is the same thing as saying 6=7.
The answer to this equation is no solution because 6 is NOT equal to 7.
Answer:
I'm most certain it is 8.89
Step-by-step explanation:
the formula:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((49.000 - 45.000) / 45.000) * 100 = 8.89 %
Answer:
(0,5)
Step-by-step explanation:
Y intercept is where line touches y axis so x = 0.
(0,5) since it's only 5 and the others don't count.
<u>Given</u>:
Four coordinates lying on the 3rd quadrant of the Cartesian plane are as follows: 
- C' = (–6, –5)
- D' = (–6, –3)
- E' = (–4, –3)
- F' = (–4, –5)
<u>Translation</u>:
Since you've been asked to translate the coordinates of the vertices 2 units right and 8 units up, you'll need to add 2 to its x-coordinate and 8 to its y-coordinate.
C'(–6, –5)
ㅤㅤ= C'(–6 + 2, –5 + 8)
ㅤㅤ= C'(–4, 3)
D'(–6, –3)
ㅤㅤ= D'(–6 + 2, –3 + 8)
ㅤㅤ= D'(–4, 5)
E'(–4, –3)
ㅤㅤ= E'(–4 + 2, –3 + 8)
ㅤㅤ= E'(–2, 5)
F'(–4, –5)
ㅤㅤ= F'(–4 + 2, –5 + 8)
ㅤㅤ= F'(–2, 3)
<u>Final </u><u>answer</u>:
- C' = (–4, 3)
- D' = (–4, 5)
- E' = (–2, 5)
- F' = (–2, 3)