Find the Domain 3x-x-2x-6x+6=4x-2

Problem

3*x−x−2*x−6*x+6=4*x−2

Solution

1. Identify the type of equation provided. This is a linear equation involving a single variable x

2. Analyze the expression for any restrictions. The domain of an equation or function consists of all possible input values for x that result in a defined real number.

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) containing variables, 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. Conclude that since the expression is a polynomial (specifically linear), it is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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