Emply inverse interpolation to determine the value of x that corresponds to ?(?) = 0.85 for the following tabulated data generated with the function ?(?) =(x 2 )/(1+x 2 ) x 0 1 2 3 4 5 f(x) 0 0.5 0.8...

Emply inverse interpolation to determine the value of x that corresponds to ?(?) = 0.85 for
the following tabulated data generated with the function
?(?) =(x²)/(1+x²)

(a) Determine the correct value analytically.
(b) Use cubic interpolation of x versus ? or ?(?). Compute the true percent relative error.
(c) Use inverse interpolation with quadratic interpolation and the quadratic formula.
Compute the true percent relative error.
(d) Use inverse interpolation with cubic interpolation and bisection. Compute the true
percent relative error.
(e) Compare the results from (b), (c), and (d) and comment on your findings.