The function f (x) = ( x) + sin –1 ( 1+x^ 2 2 x ) is defined for :

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

The function f (x) = \(\sqrt{\cos (\sin x)}\) + sin–1 \(\left(\frac{1+x^{2}}{2 x}\right)\) is defined for :
  1. x {–1, 1}
  2. x [–1, 1]
  3. x R
  4. x (–1, 1)

Answer

(A) x ∈ –1, 1

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