We derive an explicit formula for the R–transform of inverse Jacobi matrix I + W^−1 W2, where W1, W2 ∼ Wp(I, ni), i = 1, 2 are independent and I is p×p dimensional identity matrix using property of asymptotic freeness of Wishart and deterministic matrices. Procedure can be extended to other sets of the asymptotically free independent matrices. Calculations are illustrated with some simulations on fixed size matrices.