Answer:
0 solutions the way you have written the equation
Step-by-step explanation:
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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:
0.32
Step-by-step explanation:
0.2 to the fifth power is 0.00032, so that simplified is 0.32.
Answer:
20-degree angle
Step-by-step explanation:
hope this helps
Answer:
1608 cm^2
Step-by-step explanation:
Bottom: (6+15)*30=630
Front: 8*15/2+8*6/2=60+24=84
Back: Same as front
Right side: 30*17=510
Left side: 30*10=300
Add everything together: 1608
Hope this helps!
