Find the Domain x-4y=11

Problem

x−4*y=11

Solution

1. Identify the type of equation. The given equation x−4*y=11 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 relation as a function.

−4*y=−x+11

y=1/4*x−11/4

3. Analyze the resulting function ƒ(x)=1/4*x−11/4 This is a polynomial function of degree 1.

4. Determine the constraints. Since there are no square roots of negative numbers, no logarithms of non-positive numbers, and no denominators that can equal zero, the function is defined for all real numbers.

5. State the domain in interval notation. The domain is the set of all possible input values for x

Final Answer

Domain:(−∞,∞)

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