Hi,

I'm new to the forum but hope to contribute when and where I can.

I'm doing some study at the moment and I was stuck on the following problem.

Help appreciated.

Let the solution set of f(x)=0 be A and the solution set of g(x)=0 be B (here f and g are real functions taking real values).

What is the solution sets of f(x)g(x)=0 and of f(x)2+g(x)2=0.

I'm not sure how this answer is supposed to look.

My initial thoughts were something along the lines of

f(x).g(x) = A.B = 0 [A product B]

and

f(x)^2 + g(x)^2 = A^2 + B^2 = 0

But I really don't know if this is going in the right direction at all?

If you have a minute I would be grateful for your thoughts.

-Infinite.