Find the Domain x-4y=3

Problem

x−4*y=3

Solution

1. Identify the type of equation. The equation x−4*y=3 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+3

y=1/4*x−3/4

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

4. Determine any restrictions on the input x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

5. State the domain in interval notation. The domain of any non-vertical linear function is all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!