Find the Domain -4x-2y=16

Problem

−4*x−2*y=16

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

2. Solve for y to express the equation as a function of x

−2*y=4*x+16

3. Divide both sides by −2 to isolate y

y=−2*x−8

4. Determine the restrictions on the input variable x Since the expression −2*x−8 is a polynomial (specifically a linear function), it is defined for all real numbers.

5. State the domain in interval notation. There are no values of x that would result in division by zero or the square root of a negative number.

Final Answer

Domain:(−∞,∞)

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