Employ inverse interpolation using a 4th order interpolating polynomial and use bisection method to determine the value

[answerhappygod]

Employ inverse interpolation using a 4th order interpolating
polynomial and use
bisection method to determine the value of 𝑥 that corresponds to
𝑓(𝑥)=0.23 for
the following tabulated data:
𝑥 2, 3, 4, 5, 6, 7
𝑦 0.5, 0.3333, 0.25, 0.2, 0.1667, 0.1429

Note:
For this problem employ any interpolation technique discussed in
the class to
generate the polynomial. Later use the Bisection Method for finding
the roots of the
4th order polynomial. The upper and lower limit for the bisection
method can be
highest and lowest value of ‘x’ from the points considered for
performing
interpolation.