If f (x) = cos –1 ( 2-|x| 4 )+[ (3-x)]^ -1 , then its domain is :

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If f (x) = cos–1\(\left(\frac{2-|x|}{4}\right)+[\log (3-x)]^{-1},\) then its domain is :
  1. [–2, 6]
  2. [–6, 2) (2, 3)
  3. [–6, 2]
  4. [–2, 2) (2, 3]

Answer

(B) [–6, 2) ∪ (2, 3)

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