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Question

Mathematics Question on Functions

The domain of f(x)=cot⁡x3f(x) = \cot \frac{x}{3} is

A

(−∞,∞)(- \infty , \infty)

B

R - nπ:n∈Z\\{ n \pi : n \in Z \\}

C

R - 3nπ:n∈Z\\{3 n \pi : n \in Z \\}

D

(0,∞)(0, \infty)

Answer

R - 3nπ:n∈Z\\{3 n \pi : n \in Z \\}

Explanation

Solution

Domain of cot⁡x=R nπ,n∈Z\cot x = R \, \\{ n \pi , n \in Z \\}