  The exact FZZT brane partition function for topological gravity with matter
is computed using the dual two-matrix model. We show how the effective theory
of open strings on a stack of FZZT branes is described by the generalized
Kontsevich matrix integral, extending the earlier result for pure topological
gravity. Using the well-known relation between the Kontsevich integral and a
certain shift in the closed-string background, we conclude that these models
exhibit open/closed string duality explicitly. Just as in pure topological
gravity, the unphysical sheets of the classical FZZT moduli space are
eliminated in the exact answer. Instead, they contribute small, nonperturbative
corrections to the exact answer through Stokes' phenomenon.
