Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the function f(x) = x 3 + 
and g(x) = f –1 (x), then the value of g ′
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
Sol. g(f(x)) = x ⇒ g ′ (f(x)) f ′ (x) = 1 ........(i)
if f(x) = 1 ⇒ x = 0, f(0) = 1
substitute x = 0 in (i), we get
g ′ = 
⇒ g ′ = 2 ⇒ (f ′ (x) = 3x 2 + 
e x/2 ⇒ f ′ (0) = 
)
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