Find the Domain (3x^4-5y^2)^2

Problem

(3*x4−5*y2)2

Solution

1. Identify the type of function. The expression ƒ(x,y)=(3*x4−5*y2)2 is a polynomial function of two variables.

2. Check for restrictions. Polynomials do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the input constraints. Since there are no operations that restrict the values of x or y the variables can be any real number.

4. State the domain in set notation. The domain consists of all ordered pairs (x,y) in the two-dimensional real plane.

Final Answer

Domain={(x,y)∈ℝ2}

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