Find the Domain 3x+4y=12

Problem

3*x+4*y=12

Solution

1. Identify the type of equation. This is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation as a function of x Subtract 3*x from both sides and divide by 4

4*y=−3*x+12

y=−3/4*x+3

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

4. Determine the domain. Since there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!