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Question
Find the largest possible domain of the real valued function f(x) = `sqrt(4 - x^2)/sqrt(x^2 - 9)`
Solution
f(x) = `sqrt(4 - x^2)/sqrt(x^2 - 9)`
|
Here `sqrt(4 - x^2) > 0` 4 – x2 > 0 ∴ x2 > 4 x < 2 and x > – 2 |
Here `sqrt(x^2 - 9) > 0` x2 – 9 > 0 ∴ x2 > 9 x > 3 and x < – 3 |
∴ No largest possible domain
The domain is null set
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