Relevant features of the dynamic structure function S(q, omega) in He-
3-He-4 mixtures at zero temperature are investigated starting from kno
wn properties of the ground state. Sum rules are used to fix rigorous
constraints to the different contributions to S(q, omega), coming from
He-3 and He-4 elementary excitations, as well as to explore the role
of the cross term S(3,4 )(q, omega). Both the low-q (phonon-roton He-4
excitations and 1p-1h He-3 excitations) and high-q (deep-inelastic-sc
attering) ranges are discussed.