Answer:
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Swing it backwards and forwards, because according to newtons law, every action force has an opposite and equal reaction force. When you swing it one way, the jet pack will be pushed to other way, so when this motion is completed as many times/ with enough energy, the person will reach the station
The inverse of the function is ![f^{-1}x= \sqrt{\frac{x-4}{3} } + 2](https://tex.z-dn.net/?f=f%5E%7B-1%7Dx%3D%20%5Csqrt%7B%5Cfrac%7Bx-4%7D%7B3%7D%20%7D%20%2B%202)
<h3 /><h3>Domain and Range of functions</h3>
Given the function
![f(x) = 3(x - 2)^2 + 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%203%28x%20-%202%29%5E2%20%2B%204)
To get the inverse, you will follow the same step as shown:
Rewrite the equation to have:
![y= 3(x - 2)^2 + 4](https://tex.z-dn.net/?f=y%3D%203%28x%20-%202%29%5E2%20%2B%204)
Replace x with y
![x = 3(y - 2)^2 + 4](https://tex.z-dn.net/?f=x%20%3D%203%28y%20-%202%29%5E2%20%2B%204)
<h3>Make y the subject of the formula</h3>
![x = 3(y - 2)^2 + 4\\x-4=3(y - 2)^2\\\frac{x-4}{3} = (y-2)^2\\ y-2=\sqrt{\frac{x-4}{3} } \\y = \sqrt{\frac{x-4}{3} } + 2](https://tex.z-dn.net/?f=x%20%3D%203%28y%20-%202%29%5E2%20%2B%204%5C%5Cx-4%3D3%28y%20-%202%29%5E2%5C%5C%5Cfrac%7Bx-4%7D%7B3%7D%20%3D%20%28y-2%29%5E2%5C%5C%20y-2%3D%5Csqrt%7B%5Cfrac%7Bx-4%7D%7B3%7D%20%7D%20%5C%5Cy%20%3D%20%5Csqrt%7B%5Cfrac%7Bx-4%7D%7B3%7D%20%7D%20%2B%202)
Hence the inverse of the function is ![f^{-1}x= \sqrt{\frac{x-4}{3} } + 2](https://tex.z-dn.net/?f=f%5E%7B-1%7Dx%3D%20%5Csqrt%7B%5Cfrac%7Bx-4%7D%7B3%7D%20%7D%20%2B%202)
Learn more on inverse of a function here: brainly.com/question/2873333