<h3>
Answer: ![y = \sqrt[3]{4x+8}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B4x%2B8%7D)
</h3>
All of 4x+8 is under a cube root sign.
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Work Shown:
To find the inverse, we swap x and y, then solve for y.
![y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B4%7Dx%5E3%20-%202%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B1%7D%7B4%7Dy%5E3%20-%202%5C%5C%5C%5Cx%2B2%20%3D%20%5Cfrac%7B1%7D%7B4%7Dy%5E3%5C%5C%5C%5C4%28x%2B2%29%20%3D%20y%5E3%5C%5C%5C%5C4x%2B8%20%3D%20y%5E3%5C%5C%5C%5Cy%5E3%20%3D%204x%2B8%5C%5C%5C%5Cy%20%3D%20%5Csqrt%5B3%5D%7B4x%2B8%7D%5C%5C%5C%5C)
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Side note:
If 
and ![g(x) = \sqrt[3]{4x+8}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%5B3%5D%7B4x%2B8%7D)
, then 
and 
for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.
Answer:
44/60
Step-by-step explanation:
Answer:
Step-by-step explanation:
area of circle=πr^2
=3.14*(4)^2
=3.14*16
=50.24 ft^2
The 500 in the equation represents the initial amount deposited in the bank before the weeks start counting.
<h3>Linear equation</h3>
Linear equation is an equation in which the highest power of the variable is one.
Therefore, the modelled equation represents a linear equation.
where
w = number of weeks since the account was opened
The equation models the balance in her account. This equation tells us each week the owner deposits 25 units amount.
Therefore, the 500 in the equation represents the initial amount deposited in the bank before the number of weeks start counting
learn more on linear equation here: brainly.com/question/21790610
