Find the Domain 3x+2y=8

Problem

3*x+2*y=8

Solution

1. Identify the type of equation. The equation 3*x+2*y=8 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.

2*y=−3*x+8

y=−3/2*x+4

3. Analyze the resulting function ƒ(x)=−3/2*x+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. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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