V/σ(R) profiles for the TNG FRs (top panels) and SRs (bottom panels) divided into mass bins. In the two sets of panels, the first rows show the median V_*/σ_* profiles of all the stars in black. The red and blue curves are the median f_i(R)U_i, Z(R)/σ_*(R) profiles for the in-situ and ex-situ stars, respectively. The sum of these median profiles approximates the median V_*/σ_*(R) profiles up to a median absolute difference of 0.02. The middle and bottom rows show the median profiles of the in-situ and ex-situ components, respectively. Here the galaxies have been divided according to their total in-situ fraction, as shown in the legend. Error-bars and shaded regions trace the quartiles of the distributions. The in-situ stars are characterized by a peaked and outwardly decreasing V_insitu/σ_*(R) profile, while the ex-situ stars typically add a constant level of (subdominant) rotational support.