Find the Domain 6(3x-2)=9(6x-4)

Problem

6*(3*x−2)=9*(6*x−4)

Solution

1. Identify the type of equation. This is a linear equation involving only polynomial terms.

2. Analyze the expression for restrictions. A domain is restricted if there are denominators that could be zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the domain. Since there are no fractions with variables in the denominator, no radicals, and no transcendental functions, the expression is defined for all real numbers.

4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain=(−∞,∞)

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