A) R
B) \[R-\{(-1,\ 1)\cup (n|n\in Z)\}\]
C) \[{{R}^{+}}-(0,\ 1)\]
D) \[{{R}^{+}}-\{n|n\in N\}\]
Correct Answer: B
Solution :
The function \[{{\sec }^{-1}}x\] is defined for all \[x\in R-(-1,\,\,1)\] and the function \[\frac{1}{\sqrt{x-[x]}}\] is defined for all \[x\in R-Z.\] So the given function is defined for all \[x\in R-\{(-1,\,\,1)\,\,\cup \,\,(n\,\,|\,\,n\in Z)\}.\]
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