SOLUTION: Can someone help me please!!! Determine whether the equation defines y as a function of x x^3 y-2y=6

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Question 102494: Can someone help me please!!! Determine whether the equation defines y as a function of x
x^3 y-2y=6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^3 y-2y=6
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Yes, each value of x will have one corresponding value for y.
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y(x^3-2) = 6
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At this point each value of x has one corresponding value of y
so y still a function of x.
y = 6/(x^3-2)
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Comment: At this point the equation does not have
the same domain as the original equation.
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Cheers,
Stan H.