Thread: Continuous Problem

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.

Originally Posted by Math2010

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?

fg is multiplication.

I know we are given s.t



I think I can simplify pretty easily to get it to equal

I understand that and represent epsilon so we have but now is where I really do not know what I need to do for f(x) and g(a). Thank you for the help.