Find the Domain 4y^3-32x^3

Problem

ƒ(x,y)=4*y3−32*x3

Solution

1. Identify the type of function provided. The expression 4*y3−32*x3 is a polynomial function in two variables, x and y

2. Check for restrictions such as denominators that could be zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine that there are no such restrictions for polynomial expressions, as they are defined for all real numbers.

4. Conclude that the domain consists of all possible pairs of real numbers (x,y)

Final Answer

Domain={(x,y)|x∈ℝ,y∈ℝ}

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