Find the Domain p=6x+10y+2z

Problem

p=6*x+10*y+2*z

Solution

1. Identify the type of function. The expression p=6*x+10*y+2*z is a linear function of three variables, x y and z

2. Check for restrictions. 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 the expression is a polynomial, it is defined for all real values of the input variables.

4. Express the domain in set notation. The domain consists of all ordered triples (x,y,z) in three-dimensional real space.

Final Answer

Domain={(x,y,z)∈ℝ3}

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