Suppose that f and g are defined and finite valued on an open interval I which contains a, that f is cont. at a, and that f(a) =/= 0. Then g is cont. at a if and only if fg is cont. at a.
Suppose that f and g are defined and finite valued on an open interval I which contains a, that f is cont. at a, and that f(a) =/= 0. Then g is cont. at a if and only if fg is cont. at a.
I mean, what have you done? Is multiplication or composition?