Question: x== 0 1 2 3 4 5 f(x)== 0 0.5 0.8 0.9 0.941176 0.961538 Write a Matlab function that calculates the coefficients of a Lagrange

x== 0 1 2 3 4 5 f(x)== 0 0.5 0.8 0.9 0.941176 0.961538 Write a Matlab function that calculates the coefficients of a Lagrange interpolating polynomial of degree n passing through n + 1 given points. Use your Matlab function and inverse interpolation with Lagrange to estimate again the value of x corresponding to f(x) = 0.85.

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