Find the Domain x-2y=7

Problem

x−2*y=7

Solution

1. Identify the type of equation. The equation x−2*y=7 represents a linear function, which can be rewritten in slope-intercept form.

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

−2*y=−x+7

y=1/2*x−7/2

3. Analyze the resulting expression for restrictions. Since the expression 1/2*x−7/2 is a polynomial (specifically a linear polynomial), 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. For all linear functions, the input x can be any real number.

Final Answer

Domain:(−∞,∞)

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