Let f (x) = sin x and g (x) = In |x|. If the ranges of the composition functions fog and…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Let f (x) = sin x and g(x) = In |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
(D) R 1 = u : –1 2 = v : – ∞ < v < 0
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