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The domain of definition of the functions.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \( \left(\sec ^{-1} x\right) / \sqrt{x-[x]} \) & (p) & \( (-\infty, \infty) \) \\
\hline (B) & \( \left(x^{2}+x+1\right)^{-3 / 2} \) & (q) & \( R \sim\{-1,1\} \) \\
\hline (C) & \( \frac{1}{[x]-x} \) & (r) & \( R \sim I \) \\
\hline (D) & \( \frac{1}{x^{5}-x^{3}+x^{2}-1} \) & (s) & \( R \sim\{(-1,1) \cup I\} \) \\
\hline
\end{tabular}
(1) (A) \( \rightarrow \) (s), (B) \( \rightarrow(\mathrm{p}),(\mathrm{C}) \rightarrow(\mathrm{r}),(\mathrm{D}) \rightarrow(\mathrm{q}) \)
(2) (A) \( \rightarrow(\mathrm{r}),(\mathrm{B}) \rightarrow(\mathrm{s}),(\mathrm{C}) \rightarrow(\mathrm{p}),(\mathrm{D}) \rightarrow(\mathrm{q}) \)
(3) (A) \( \rightarrow \) (q), (B) \( \rightarrow(\mathrm{p}),(\mathrm{C}) \rightarrow(\mathrm{r}),(\mathrm{D}) \rightarrow(\mathrm{s}) \)
(4) (A) \( \rightarrow(\mathrm{r}),(\mathrm{B}) \rightarrow(\mathrm{p}),(\mathrm{C}) \rightarrow(\mathrm{q}),(\mathrm{D}) \rightarrow(\mathrm{s}) \)


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