Question

If Domain of f(x) is A and domain of g(x) is B, then the domain of f(x).g(x) is

• A. A B.
• B. A B.
• C. A
• D. B

Answer 1

The correct option is A

A B.

Let h(x) = f(x).g(x)

For h(x) to be defined both f(x) and g(x) should be defined.

So the domain will be where both f(x) and g(x) are defined. It is A $\cap$ B.