Find the Domain q=4p-3z

Problem

q=4*p−3*z

Solution

1. Identify the type of function. The expression q=4*p−3*z is a linear function of two variables, p 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 set of possible values. Since the operations of multiplication and subtraction are defined for all real numbers, p and z can be any real number.

4. State the domain in set notation. The domain is the set of all ordered pairs (p,z) such that both p and z belong to the set of real numbers ℝ

Final Answer

Domain={(p,z)∈ℝ2}

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