Find the Domain 4x+3y=12

Problem

4*x+3*y=12

Solution

1. Identify the type of equation. The equation 4*x+3*y=12 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.

3*y=−4*x+12

y=−4/3*x+4

3. Determine the restrictions on the input variable x Since the expression −4/3*x+4 is a polynomial (specifically a linear function), there are no values of x that result in division by zero or the square root of a negative number.

4. Conclude the domain. Because the function is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain:(−∞,∞)

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