  In this work, we study FRW cosmologies in the context of gravity rainbow. We
discuss the general conditions for having a nonsingular FRW cosmology in
gravity rainbow. We propose that gravity rainbow functions can be fixed using
two known modified dispersion relation (MDR), which have been proposed in
literature. The first MDR was introduced by Amelino-Camelia, et el. in [9] and
the second was introduced by Magueijo and Smolin in [24]. Studying these
FRW-like cosmologies, after fixing the gravity rainbow functions, leads to
nonsingular solutions which can be expressed in exact forms.
