Find the Domain 2y=x+4

Problem

2*y=x+4

Solution

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

y=(x+4)/2

y=1/2*x+2

2. Identify the type of function. This is a linear function, which is a specific type of polynomial function.

3. Determine any restrictions on the input x Polynomial functions do not have denominators containing variables or even roots of negative numbers.

4. Conclude that since there are no values of x that make the expression undefined, the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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