Find the Domain 3x-5y=12

Problem

3*x−5*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 in terms of x to express the relation as a function.

3*x−5*y=12

−5*y=−3*x+12

y=3/5*x−12/5

3. Analyze the resulting function y=ƒ(x) Since this is a polynomial function (specifically a linear function), there are no values of x that would result in division by zero or the square root of a negative number.

4. Determine the domain. Because the expression is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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