Let f : [– + 1, +1] → be a function defined by f(x) = .…

Maths Functions, Limits, Continuity and Differentiability General Numeric Response

Published by: CGP EDU Academic Team

Published on: August 11, 2026

Let f : [– + 1, +1] → be a function defined by f(x) = .

If f –1 (x) = , then λ + μ is.

Text Solution

Verified by Experts

The correct answer is:

(2)

Sol. f(x) = ⇒ f ′ (x) = 0 at x = 1 ±

for x ∈ f is bijective function hence f is invertible.

= y

or x 2 y + x + (y – 1) = 0

or x = =

f –1 (x) =

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