Find the Domain 2x+2y=22(2)

Problem

2*x+2*y=22*(2)

Solution

1. Simplify the right side of the equation by performing the multiplication.

2*x+2*y=44

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

2*y=−2*x+44

y=−x+22

3. Identify the type of function represented by the equation.
   The equation y=−x+22 is a linear function.

4. Determine the domain of the linear function.
   Since there are no square roots of negative numbers, no denominators equal to zero, and no logarithms of non-positive numbers, the input x can be any real number.

Final Answer

Domain: *(−∞,∞)

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