Based on the graphs of f (x) and g(x), what must the domain of (f ⋅ g)(x) be?
{x ∈ ℝ | x ≠ 3}
{x ∈ ℝ | x ≠ –3, 1}
{x ∈ ℝ | x ≠ –3, 1, 3}
{x ∈ ℝ}

Based on the graphs of f x and gx what must the domain of f gx be x ℝ x 3 x ℝ x 3 1 x ℝ x 3 1 3 x ℝ class=

Respuesta :

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

{x ∈ ℝ | x ≠ 3}

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  • 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 [tex]fg(x) = f(x) \times g(x)[/tex], 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 https://brainly.com/question/4175434

Answer:

{x ∈ ℝ | x ≠ 3}

Step-by-step explanation: