Find the Domain x+y=4

Problem

x+y=4

Solution

1. Identify the type of equation. The equation x+y=4 represents a linear function in two variables, which can be rewritten in slope-intercept form.

2. Solve for y to express it as a function of x Subtract x from both sides of the equation.

y=−x+4

3. Determine the restrictions on the input variable x In the expression −x+4 there are no square roots of negative numbers, no divisions by zero, and no logarithms of non-positive numbers.

4. Conclude the domain. Since the expression is a polynomial (specifically a linear function), it is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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