If two roots of the equation are real and distinct and

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

If two roots of the equation (p−1)(x2+x+1)2−(p+1)(x4+x2+1)=0(p-1)(x^2 + x + 1)^2 - (p+1)(x^4 + x^2 + 1) = 0 are real and distinct and f(x)=1−x1+xf(x) = \frac{1-x}{1+x} , then f(f(x))+f(f(1x))f(f(x)) + f\left(f\left(\frac{1}{x}\right)\right) is equal to (1) pp (2) −p-p (3) 2p2p (4) −2p-2p

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