Find the Domain -2=2/(a-2)

Problem

−2=2/(a−2)

Solution

1. Identify the expression type as a rational equation, where the variable a appears in the denominator.

2. Recall that the domain of an expression consists of all real numbers except those that make the denominator equal to zero.

3. Set the denominator equal to zero to find the excluded value: a−2=0

4. Solve for a by adding 2 to both sides, which gives a=2

5. Exclude this value from the set of all real numbers to define the domain.

Final Answer

Domain: *{a|a∈ℝ,a≠2}

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