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PEA 2022Question 16mcqModerate

f(x)=x2−x−1f(x) = x^2 - x - 1, g(x)=x+1g(x) = x + 1. Let α1>0\alpha_1 > 0 and α2<0\alpha_2 < 0 be the roots of f(x)=0f(x)=0; let β1>0\beta_1 > 0 and β2<0\beta_2 < 0 be the roots of f(g(x))=0f(g(x))=0. Identify which statement is \emph{incorrect}.