Time reversal symmetry of scalar field theory

Can anyone prove the time-reversal invariance of the following scalar field theory?
$$ mathcal{L}=frac{1}{2} partial_{mu} phi partial^{mu} phi-frac{mu^{2}}{2} phi^{2}-gphipsi^*psi+partial_{mu} psi partial^{mu} psi^*-m^2psi^*psi$$