Find the Domain (a-6)/12=(a-2)/4

Problem

(a−6)/12=(a−2)/4

Solution

1. Identify the type of equation provided. This is a rational equation where the variables are located in the numerators.

2. Examine the denominators of each fraction in the equation. The denominators are the constants 12 and 4

3. Determine if there are any values of the variable a that would make any denominator equal to zero. Since the denominators are constants (12≠0 and 4≠0, there are no values of a that result in division by zero.

4. Conclude that the expression is defined for all real numbers because there are no restrictions imposed by the denominators or other mathematical operations (like square roots of negative numbers).

Final Answer

Domain: *(−∞,∞)

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