  Using an optically-trapped mixture of the two lowest hyperfine states of a
$^6$Li Fermi gas, we observe two-field optical tuning of the narrow Feshbach
resonance by up to 3 G and an increase in spontaneous lifetime near the broad
resonance from $0.5$ ms to $0.4$ s. We present a new model of light-induced
loss spectra, employing continuum-dressed basis states, that agrees in shape
and magnitude with measurements for both broad and narrow resonances.
