Find the Domain 5/(2y)-1/y

Problem

5/(2*y)−1/y

Solution

1. Identify the denominators in the expression. The denominators are 2*y and y

2. Set each denominator to be non-zero, as division by zero is undefined in the set of real numbers.

3. Solve the inequality 2*y≠0 which results in y≠0

4. Solve the inequality y≠0 which is already in its simplest form.

5. Combine the restrictions to determine that the only value y cannot take is 0

Final Answer

Domain: *{[y∈ℝ,y≠0]}

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