You would get an answer 706.5
Answer:
The answer is 36
Step-by-step explanation:
Because 39+1=40
So then 40-24=16
and then divided by 6 is 36 because when you divide you multiply
Find the length the width and the height and then divide by 3 and you’ll get your answer
<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
, then
and
for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.