Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If f(x) = 
, g(x) = 
and h(x) = |x|,
then 
f(g(h(x))) is equal to
Text Solution
Verified by ExpertsThe correct answer is:
0
(0)
Sol. 
f(g (h (x)))
L.H.L. x → 0 –
h (x) = 0 +
f(g(x))
then 
g(x) = 1 +
f(x) = 1 – 1 = 0
R.H.L. x → 0 +
h (x) = 0 +
so 
f(g(x)) = 0
L.H.L. = R.H.L. = 0
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