Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If f(x) = cot –1 x : R + → 
and g(x) = 2x – x 2 : R → R. Then the range of the function f(g(x)) wherever define is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
f(x) = cot –1 x R + → 
; g(x) = 2x – x 2 R → R
f(g(x)) = cot –1 (2x – x 2 ), where x ∈ (0, 2) & 2x – x 2 ∈ (0, 1]
hence f(g(x)) ∈ 
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