Find the Domain 4(v+1)-7=3(v-1)+v

Problem

4*(v+1)−7=3*(v−1)+v

Solution

1. Identify the type of equation. This is a linear equation in one variable, v

2. Examine the expression for any restrictions. The equation consists of polynomial terms (linear terms and constants).

3. Check for denominators. There are no variables in any denominators, so there is no risk of division by zero.

4. Check for radicals. There are no even-indexed roots (like square roots), so there is no risk of taking the root of a negative number.

5. Check for logarithms. There are no logarithmic functions, so there is no risk of taking the log of a non-positive number.

6. Determine the domain. Since there are no values of v that make the expression undefined, the domain is the set of all real numbers.

Final Answer

Domain=(−∞,∞)

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