The following table was obtained from the function f(x) = 6/x: Find the interpolating polynomial for this

Question:

The following table was obtained from the function f(x) = 6/√x:

X f(x) 1 6 4 3 9 2

Find the interpolating polynomial for this table. Compare the values of the interpolating polynomial p(x) and the original function f1x2 = 6/√x by completing the table below. Use a calculator to evaluate 6/√x and round each value to one decimal place.

X p(x) 6/Vx 6 6 2 3 4 3 3 5 6 7 8 9 2 2