Let f ( x ) = x 2 and g ( x ) = sin x for all x ∈ R . Then the set of all x satisfying (…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f(x) = x2 and g(x) = sin x for all x ∈ R. Then the set of all x satisfying (fogogof)(x) = (gogof)(x), where
(fog)(x) = f(g(x)), is
(fog)(x) = f(g(x)), is
- \(\pm \sqrt{n \pi}, n \in\{0,1,2, \ldots .\}\)
- \(\pm \sqrt{n \pi}, n \in\{1,2, \ldots .\}\)
- \(\frac{\pi}{2}+2 n \pi, n \in\{\ldots,-2,-1,0,1,2, \ldots .\}\)
- 2n
Answer
(A) n , n 0,1,2, .
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