Find the Domain 2x=y+8

Problem

2*x=y+8

Solution

1. Isolate the dependent variable y to express the equation as a function of x

y=2*x−8

2. Identify the type of function represented by the equation.

y=2*x−8

This is a linear function, which is a type of polynomial.

3. Determine the restrictions on the input variable x
   Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

4. State the domain in interval notation.
   The domain includes all values from negative infinity to positive infinity.

(−∞,∞)

Final Answer

Domain of *2*x=y+8* is *(−∞,∞)

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