Let a polynomial ' \( f \) ' satisfies the relation \( f(f(f(x)))+(...

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Let a polynomial ' \( f \) ' satisfies the relation \( f(f(f(x)))+(1-p) f(x)=3 \forall x \in R \)
\( \mathrm{P} \) where \( p \in R \).

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If leading coefficient of \( f(x) \) is negative and \( f(0)=4 \) then \( \int_{-1}^{1} f^{-1}(x) d x \) is equal to :
(a) 8
(b) 16
(c) 32
(d) 64
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