Find the Domain -4x+2y=3

Problem

−4*x+2*y=3

Solution

1. Identify the type of equation. The given equation −4*x+2*y=3 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form.

2*y=4*x+3

y=2*x+3/2

3. Determine the restrictions on the input variable x Since the expression 2*x+3/2 is a polynomial (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. Conclude that the domain includes all real numbers.

Final Answer

Domain: *(−∞,∞)

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