# How do you find the domain and range of #(y^2)(x-4)=8#?

Separate into two equations:

In both cases, the expression under the radical cannot be negative and it must be greater than 0:

Find the range for the first equation:

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To find the domain and range of the equation ( (y^2)(x-4) = 8 ), consider the restrictions on ( x ) and ( y ). The domain is all real numbers except ( x = 4 ), and the range is all real numbers except ( y = 0 ).

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