Let f be a real-valued function defined on the interval (−1, 1) such that e^{−x} f (x) = 2 + \int^{x}_{0}\sqrt{t^4+1} dt, for all x ∈ (−1, 1) and let f^{−1} be the inverse function of f. Then, (f^{−1}) (2) is equal to

JEE Mains Model Paper 19

Question : 49 of 90

Marks: +1, -0

Let f be a real-valued function defined on the interval (−1, 1) such that e−x f (x) = 2 +

∫

√t4+1 dt, for all x ∈ (−1, 1) and let f−1 be the inverse function of f. Then, (f−1) (2) is equal to

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