Find the Domain 2x+y=1

Problem

2*x+y=1

Solution

1. Identify the type of equation. The equation 2*x+y=1 represents a linear function in two variables.

2. Solve for y to express the equation in slope-intercept form.

y=−2*x+1

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

4. Determine the restrictions. Since there are no denominators containing variables and no even roots, the function is defined for all real numbers.

5. State the domain in interval notation. The domain is all real numbers from negative infinity to positive infinity.

Final Answer

Domain:(−∞,∞)

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