FIG. 1 is a front perspective view of a door-mounted cap rack showing my new design, the broken-line disclosure of a portion of a door being for illustrative purposes only and forming no part of the claimed design;

FIG. 2 is a front elevational view thereof;

FIG. 3 is a rear elevational view thereof;

FIG. 4 is a right side elevational view thereof with the other side being a mirror image thereof;

FIG. 5 is a top plan view thereof; and,

FIG. 6 is a bottom plan view thereof.