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Question
Find the domain of the function f given by f(x) = `1/sqrt([x]^2 - [x] - 6)`
Solution
Given that f(x) = `1/sqrt([x]^2 - [x] - 6)`
f is defined if [x]2 – [x] – 6 > 0
or ([x]–3) ([x] + 2) > 0
⇒ [x] < – 2 or [x] > 3
⇒ x < – 2 or x ≥ 4
Hence Domain = `(-oo, -2) ∪ [4, oo)`.
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