  We present a composite fermion theory of tunneling into the edge of a
compressible quantum Hall system. The tunneling conductance is non-ohmic, due
to slow relaxation of electromagnetic and Chern-Simons field disturbances
caused by the tunneling electron. Universal results are obtained in the limit
of a large number of channels involved in the relaxation. The tunneling
exponent is found to be a continuous function of the filling factor nu, with a
a slope that is discontinuous at nu=1/2 in the limit of vanishing bulk
resistivity rho_xx. When nu corresponds to a principal fractional quantized
Hall state, our results agree with the chiral Luttinger liquid theories of Wen,
and Kane, Fisher and Polchinski.
