Find the Domain 4x-3y=0

Problem

4*x−3*y=0

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

2. Solve for y in terms of x to determine if there are any restrictions on the input values.

4*x−3*y=0

−3*y=−4*x

y=4/3*x

3. Analyze the resulting function. The expression 4/3*x is a polynomial (specifically a linear function).

4. Determine the restrictions. Polynomials are defined for all real numbers because there are no denominators containing x that could be zero and no square roots of negative numbers.

5. State the domain in interval notation. Since there are no restrictions, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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