Let f ( x ) = sin x and g ( x ) = ln | x |. If the ranges of the composition functions…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let f (x) = sin x and g(x) = ln |x|. If the ranges of the composition functions fog and gof are R1 and R2 respectively, then
- R1 = {u : –1
≤ u < 1}, R2 = {v : – ∞ < v < 0} - R1 = {u : –
∞ < u < 0}, R2 = {v : –1 ≤ v ≤ 0} - R1 = {u : –
1 < u < 1}, R2 = {v : – ∞ < v < 0} - R1 = {u : –
1 ≤ u ≤ 1}, R2 = {v : – ∞ < v ≤ 0}
Answer
(C) R 1 = u : – 1 u R 2 = v : – ∞ v < 0
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