Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Find the domain of each of the following functions :
(i) f(x) = 
(ii) f(x) = 
+ 3 sin–1 
(iii) f(x) = 
+ 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) [–1, 1] – {0} (ii) 
(iii) φ
Sol. (i)f(x) = 
.
For sin–1x, x ∈ [–1, 1] and division by zero is undefined x ≠ 0
∴ Domain x ∈ [–1, 0) ∪ (0, 1]
(ii)f(x) = 
+ 3 sin–1 
1 – 2x ≥ 0 and – 1 ≤ 
≤ 1
⇒ x ≤ 
and – 
≤ x ≤ 1
Taking intersection
∴ Domain x ∈ 
(iii)f(x) = 
– 
1 ≤ x ≤ 1 and x > 2 ⇒ x ∈ φ
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