The largest interval lying in (- 2 , 2 ) for which the function f(x)=4^ -x^ 2 + ^ -1 ( x…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

The largest interval lying in \(\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\)for which the function \(f(x)=4^{-x^{2}}+\cos ^{-1}\left(\frac{x}{2}-1\right)\)+ log (cos x) is defined, is
  1. [0, π]
  2. \(\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\)
  3. \(\left[-\frac{\pi}{4}, \frac{\pi}{2}\right)\)
  4. \(\left[0, \frac{\pi}{2}\right)\)

Answer

(D) [0, 2 )

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