The domain of $f (x) = tan [x - 1],$ where $[.]$ is greatest integer function, is

R - {(2 n + 1) \frac{π}{2}}, n \in N

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R

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ϕ

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R - Z

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Solution

The correct option is B $R$
Given : $f (x) = tan [x - 1]$
$\Rightarrow [x - 1] \in I$
We know that tangent function is not defined for odd multiple of $\frac{π}{2}$ but $[x - 1]$ will never be equal to $k \frac{π}{2}$ as it is integer.
$∴$ Domain $= R$

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