Find the Domain 2/a=(1-a)/(2a-9)

Problem

2/a=(1−a)/(2*a−9)

Solution

1. Identify the denominators in the equation. The domain of an algebraic equation consists of all real numbers except those that make any denominator equal to zero.

2. Set the first denominator equal to zero to find the first excluded value.

a=0

3. Set the second denominator equal to zero to find the second excluded value.

2*a−9=0

4. Solve for a in the second equation.

2*a=9

a=9/2

5. State the domain by excluding these values from the set of all real numbers.

Final Answer

Domain: *{[a∈ℝ,a≠0,a≠9/2]}

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