Find the Domain 6(w-2)+2=2(v+1)

Problem

6*(w−2)+2=2*(v+1)

Solution

1. Identify the type of equation and the variables involved. This is a linear equation in two variables, w and v

2. Determine the context of the domain. In the context of a function where v is the independent variable and w is the dependent variable (or vice versa), we look for restrictions such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Analyze the expression for restrictions. The equation 6*(w−2)+2=2*(v+1) consists entirely of polynomial terms.

4. Conclude that since there are no denominators containing variables, no radicals with even indices, and no transcendental functions with restricted domains, the variables can take any real value.

5. Express the domain in interval notation. For a linear relationship, the domain for the independent variable is all real numbers.

Final Answer

Domain=(−∞,∞)

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