Find the Domain 2x+4y=16

Problem

2*x+4*y=16

Solution

1. Identify the type of equation. The equation 2*x+4*y=16 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y in terms of x to express the equation as a function y=ƒ(x)

4*y=−2*x+16

y=−1/2*x+4

3. Analyze the resulting function for any restrictions. Since ƒ(x)=−1/2*x+4 is a polynomial (specifically a linear function), there are no values of x that would result in division by zero or the square root of a negative number.

4. Determine the domain. Because the function is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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