The range of f(x)=4 ^ -1 ( x^ 2 x^ 2 +1 ) is

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

The range of \(f(x)=4 \sin ^{-1}\left(\frac{x^{2}}{x^{2}+1}\right)\) is
  1. [0, 2π)
  2. [0, π]
  3. [0, 2π]
  4. [0, π)

Answer

(D) [0, π)

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