Let f: R R be a continuous odd function, which vanishes exactly at one point and f(1)= 1 2 . Suppose that...

Question

Let f: R R be a continuous odd function, which vanishes exactly at one point and f(1)= 1 2 . Suppose that F(x)= _ -1 ^ x f(t) ,dt for all x [-1,2] and G(x)= _ -1 ^ x t ,|f(f(t))| ,dt for all x [-1,2]. If _ x 1 F(x) G(x) = 1 14 , then the value of f ( 1 2 ) is

Accepted Answer

7

JEE Advanced 2015 Mathematics question

Solution

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