Find the Domain 10x-3y+15

Problem

10*x−3*y+15

Solution

1. Identify the type of expression provided. The expression 10*x−3*y+15 is a linear polynomial in two variables, x and y

2. Analyze for restrictions. In a polynomial expression, there are no denominators that could be zero, no square roots of negative numbers, and no logarithms of non-positive numbers.

3. Determine the domain. Since there are no mathematical operations that restrict the input values for x or y the expression is defined for all real numbers.

4. State the domain in set notation. The domain consists of all ordered pairs (x,y) such that x and y are elements of the set of real numbers.

Final Answer

Domain={(x,y)|x∈ℝ,y∈ℝ}

Want more problems? Check here!