Question 1170514
Let's find (f∘g)(x) and its domain.

**1. Find (f∘g)(x)**

(f∘g)(x) = f(g(x))

We have:
f(x) = 12x - 7
g(x) = 123x - 41

Substitute g(x) into f(x):
(f∘g)(x) = f(123x - 41)
(f∘g)(x) = 12(123x - 41) - 7
(f∘g)(x) = (12 * 123)x - (12 * 41) - 7
(f∘g)(x) = 1476x - 492 - 7
(f∘g)(x) = 1476x - 499

**2. Find the Domain of (f∘g)(x)**

* The domain of f(x) = 12x - 7 is all real numbers, since it's a linear function.
* The domain of g(x) = 123x - 41 is also all real numbers, since it's a linear function.
* The composition (f∘g)(x) = 1476x - 499 is also a linear function, so its domain is all real numbers.

Since both f(x) and g(x) have a domain of all real numbers, the composition (f∘g)(x) also has a domain of all real numbers.

**3. List Numbers NOT in the Domain**

Since the domain of (f∘g)(x) is all real numbers, there are no numbers excluded from the domain.

**Answer:**

(f∘g)(x) = 1476x - 499

List the numbers that are NOT in the domain of f∘g in a comma separated list: None