Let , and be three positive real numbers. Let f(x) = x^ 5 + x^ 3 + x, x R and g : R R be such that g(f(x)) =...

Question

Let , and be three positive real numbers. Let f(x) = x^ 5 + x^ 3 + x, x R and g : R R be such that g(f(x)) = x for all x R. If a_ 1 , a_ 2 , a_ 3 , …, a_ n be in arithmetic progression with mean zero, then the value of f(g((1/n) _ i=1 ^ n f(a_ i ))) is equal to -

Accepted Answer

(A)

JEE Main 2022 Mathematics question

Solution

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