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Question
Find the domain of `f(x)=cotx+cot^-1x`
Solution
Let f(x) = g(x) + h(x), where g(x) = cot x and h (x) = cot-1x
Therefore, the domain of f(x) is given by the intersection of the domain of g(x) and h(x)
The domain of g(x) is R − { nπ, n ⋵ Z}
The domain of h(x) is (0, π )
Therfore, the intersection of g(x) and h(x) is R − { nπ, n ⋵ Z}
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