Please answer the following question in one script matlab or python. Copy and paste the code as answers please.

From class, we know that the zeros of the nth Chebyshev polynomial Tn(x)=cos(narccos(x)) are xj=cos(2n2j+1)j=0,,n1. Let n=3, so T3(x)=cos(3arccos(x))=4x33x. For Newton's approximation, we set g(x)=x12x234x33x. (a) Write a function that evaluates g(x). (b) Write a function that evaluates T3(x). (c) Using fixed point iteration with seed x0=0.9, estimate the value of a zero of the Chebyshev polynonial T3(x) using g(x) to 8 decimal places. You can choose the appropriate stopping criterion. (d) Verify numerically that the evaluatation of T3(x) at your answer in (c) is small