Let D be the domain of the function f(x)= ^ -1 ( _ 3 x ( 6+2 _ 3 x -5 x ) ) . If the…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

Let D be the domain of the function \(f(x)=\sin ^{-1}\left(\log _{3 x}\left(\frac{6+2 \log _{3} x}{-5 x}\right)\right)\). If the range of the function g : DR defined by g(x) = x – [x], ([x] is the greatest integer function), is (α, β), then is equal to
  1. 135
  2. 136
  3. 45
  4. 46
  5. None

Answer

(D) 46

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