Question

Given functions f(x) and g(x), find the domain of (f∘g)(x):

a) Intersection of domains
b) Union of domains
c) Complement of domains
d) Empty set domain

Answer 1

To find the domain of (f∘g)(x), we need to consider the intersection of the domains of the component functions.

Step-by-step explanation:

To find the domain of (f∘g)(x), we need to consider the domain of the composite function. The domain of a composite function is determined by the intersection of the domains of its component functions.

Let's assume that the domain of function g(x) is A and the domain of function f(x) is B. The domain of (f∘g)(x) is the intersection of A and B.

In other words, the domain of (f∘g)(x) is the set of all values of x for which both g(x) and f(x) are defined.