Question

Based on the graphs of f (x) and g(x), what must the domain of (f ⋅ g)(x) be?

Answer 1

Using the concept of domain, the domain of (f.g)(x) is given by:

{x ∈ ℝ | x ≠ 3}

---------------------

• The domain of a function is given by all possible input values, that is, on a graph, all values that the x-axis assumes.
• In the graph, function f assumes all real values.
• Function g is not defined for x = 3, thus, it's domain is all real values except 3.
• Thus, the multiplication, as $fg(x) = f(x) \times g(x)$, will also not be defined at x = 3, and the domain of the multiplication is:

{x ∈ ℝ | x ≠ 3}

A similar problem is given at brainly.com/question/4175434