The graph of y=3tan(x/3+π/6);x∈R is given below. Find the domain and the period of the function.
A
Period: 3π
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B
Domain: R−(2n+1)π;n∈Z
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C
Domain: R−(3n+1)π;n∈Z
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D
Period: 2π
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Solution
The correct option is C Domain: R−(3n+1)π;n∈Z From the graph, we can find out that the domain and period of the function are R−(3n+1)π;n∈Z and 3π respectively.