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Q64Section I (Objective (Q1–Q80))64 of 80

Numerical Analysis — Lagrange interpolation of composed function

Suppose f(x)=x+x3+x5f(x) = x + x^3 + x^5. If g(x)g(x) is a quadratic polynomial determined using Lagrange's interpolation formula using the fact that g(f(0))=0g(f(0)) = 0, g(f(1))=1g(f(1)) = 1 and g(f(2))=2g(f(2)) = 2, then what is g(13)g(13) equal to?

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