Mathematics, 12.08.2020 05:01 nathancikra
Determine the equation of the inverse of y = 1/4 x^3 - 2
Answers: 2
![y = \sqrt[3]{4x+8}](/tpl/images/0718/5849/fbc3d.png)
![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}\\\\](/tpl/images/0718/5849/92faa.png)
and ![g(x) = \sqrt[3]{4x+8}](/tpl/images/0718/5849/28277.png)
, then 
and 
for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.
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Determine the equation of the inverse of y = 1/4 x^3 - 2...
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