Suppose that is of bounded variation on [, ]. If is continuous on [, ], show that (x), (x), and p(x) are continuous on [, ].

a) is of bounded variation on [, ] and continuous on [, ]
b) is of unbounded variation on [, ] and discontinuous on [, ]
c) is of bounded variation on [, ] and discontinuous on [, ]
d) is of unbounded variation on [, ] and continuous on [, ]