Question

Identify the domain of the combined function h(x) = f(x) · g(x), if the domain of f(x) is (4, 4.5], and the domain of g(x) is [4, 4.5).The domain of h(x)

Answer 1

From the above details, we can get the value of domain is Df−g=(4,4.5).   Here is the explanation to this condition as follow.

The (f−g)(x) is only calculated for the x, for that both g and f are properly defined.

After that, we can develop the equation as Df−g=Df∩Dg. In this given equation, we get Df−g=(4,4.5]∩[4,4.5)=(4,4.5).