Consider f(x)=3/4 and g(x)=12x^2. determine whether the domain of fg is the same as the domain of g or different. same or not the same?

The domain of both of these functions is all real numbers. You can input anything into f(x), and regardless, you will get 3/4. g(x) is a polynomial (specifically a quadratic), which is defined for all real numbers. 

The domain of a function  is the set where both f and g are defined. Mathematically, we use ∩ for intersection to show that  ∩ . Here, it is just all real numbers for both g and fg.

Distributive property