  We compute the ratio of pseudoscalar decay constants f_K/f_pi using
domain-wall valence quarks and rooted improved Kogut-Susskind sea quarks. By
employing continuum chiral perturbation theory, we extract the Gasser-Leutwyler
low-energy constant L_5, and extrapolate f_K/f_pi to the physical point. We
find: f_K/f_pi = 1.218 (+- 0.002) (+0.011 -0.024) where the first error is
statistical and the second error is an estimate of the systematic due to chiral
extrapolation and fitting procedures. This value agrees within the
uncertainties with the determination by the MILC collaboration, calculated
using Kogut-Susskind valence quarks, indicating that systematic errors arising
from the choice of lattice valence quark are small.
