Find the Domain ((7x^9)/(3y^2))^2

Problem

((7*x9)/(3*y2))2

Solution

1. Identify the variables in the expression. Since the expression contains both x and y the domain consists of all ordered pairs (x,y) in ℝ2 for which the expression is defined.

2. Analyze the constraints of the expression. The expression is a rational function raised to a power. The only restriction for a rational expression is that the denominator cannot be equal to zero.

3. Set the denominator equal to zero to find the excluded values.

3*y2=0

4. Solve for y

y2=0

y=0

5. Determine the domain. The variable x can be any real number because it is in the numerator. The variable y can be any real number except for 0

Final Answer

Domain={[(x,y)∈ℝ2,y≠0]}

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