Let f (x) = max 1 + sin x, 1 – cos x, 1 x ∈ [0, 2π] and g (x) = max 1, | x –1| x ∈ R…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f (x) = max {1 + sin x, 1 – cos x, 1} \(\forall\) x ∈ [0, 2π] and g (x) = max {1, | x –1|} \(\forall\) x ∈ R. Then gof is :
- 2
- 1
- \(\left\{\begin{array}{ll} 1+\sin x & x \leq 0 \\ 1-\cos x & x \geq 0 \end{array}\right.\)
- None of these
Answer
(B) 1
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