If a non-zero function is symmetrical about then the value of (constant) such that…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

If a non-zero function f(x)f(x) is symmetrical about y=1y = 1 then the value of pp (constant) such that f2(x)=(f−1(x))2−px⋅f(x)⋅f−1(x)+2x2f(x)f^2(x) = (f^{-1}(x))^2 - px \cdot f(x) \cdot f^{-1}(x) + 2x^2 f(x) for all x∈Rx \in \mathbb{R} is .....

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