  Interacting Fermi gases with spin-orbit coupling are responsible for many
intriguing phenomena such as topological superfluids and Majorana fermions.
Here we characterize theoretically fermionic pairing in a strongly interacting
spin-orbit coupled Fermi gas, by using momentum-resolved radio-frequency
spectroscopy. We develop a strong-coupling $T$-matrix theory and present a
phase diagram near the unitary resonance limit. A smooth transition from atomic
to molecular responses in the momentum-resolved spectroscopy is predicted, with
a clear signature of anisotropic pairing at and below resonance. Our prediction
with many-body pairing can be directly tested in a spin-orbit coupled Fermi gas
of $^{40}$K or $^{6}$Li atoms near broad Feshbach resonances.
