Let E1=X∈ℝ:x≠1 and xx−1>0 and E2=X∈ℝ1:sin−1logexx−1is a real number  (Here, the inverse trigonometric function sin−1x assumes values in−π2,π2.Let f:E1→ℝ be function defined by fx=logexx−1  and  g:E2→ℝ be the function defined by g(x)=sin−1(logxx−1.)            LIST-I                                                             LIST-II            P. The range of f is                                     1. −∞,11−e∪ee−1,∞           Q. The range of g contains                             2. (0, 1)            R. The domain of f contains                           3.. −12,12             S. The domain of g is                                   4.−∞,0∪0,∞                                                                                     5. −∞,ee−1                                                                                     6. −∞,0∪12,ee−1