Published by:
CGP EDU Academic Team
Published on: August 11, 2026
The domain of the function f (x) = 
is:
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. f(x) = 
here – 1 ≤ 2x + 1 < 1 ⇒ – 2 ≤ 2x < 0 ⇒ – 1 ≤ x < 0 ⇒ x ∈ [–1, 0)
But x ≠ – 1 as |x| – 1 ≠ 0
∴ x ∈ (–1, 0)
for x ∈ (–1, 0), (|x| – 1) is –ve
∴ tan 3x < 0
0 > 3x > – 
or x ∈ 
Domain : 
∩ (–1, 0) ≡ 
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