Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Given the functions f(x) = 
, g(x) = cosec − 1 
and the function
h(x) = f(x) defined only for those values of x, which are common to the domains of the functions f(x) and g(x). The range of the function h(x) is :
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
f(x) = 
Domain –1 ≤ sin 
≤ 1 + 
≤ x + 
≤ 
⇒ 
≤ x ≤ 
g(x) = cosec –1 
⇒ 
≥ 1
or cos x ≤ 
⇒ x ∈ 
Domain of h(x) : x ∈ 
⇒ h(x) = 
= 
range of h(x) : [e π /6 , e π ]
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