Find the Domain 4x+2y=56

Problem

4*x+2*y=56

Solution

1. Identify the type of equation. The equation 4*x+2*y=56 is a linear equation in two variables.

2. Solve for y in terms of x to express the relation as a function.

2*y=−4*x+56

y=−2*x+28

3. Analyze the resulting function ƒ(x)=−2*x+28 This is a polynomial function of degree 1.

4. Determine any restrictions on the input x Since there are no denominators containing x no square roots of negative values, and no logarithms, the variable x can be any real number.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain=(−∞,∞)

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