  Composite fermion (CF) is a topological quasiparticle that emerges from a
non-perturbative attachment of vortices to electrons in strongly correlated
two-dimensional materials. Similar to non-interacting fermions that form Landau
levels in a magnetic field, CFs can fill analogous ``Lambda'' levels, giving
rise to the fractional quantum Hall (FQH) effect of electrons. Here, we show
that Lambda levels can be directly visualized through the characteristic peak
structure in the signal obtained via spectroscopy with the scanning tunneling
microscopy (STM) on a FQH state. Complementary to transport, which probes
low-energy properties of CFs, we show that \emph{high-energy} features in STM
spectra can be interpreted in terms of Lambda levels. We numerically
demonstrate that STM spectra can be accurately modeled using Jain's CF theory.
Our results show that STM provides a powerful tool for revealing the anatomy of
FQH states and identifying physics beyond the non-interacting CF paradigm.
