Based on the graphs of f(x) and g(x), what must be the domain of (f • g)(x) be?
A. {x ∈ R}
B. {x ∈ R| x≠2}
C. {x ∈ R| x≠-4,2}
D. {x ∈ R| x≠-4,2,4}

To determine the domain of $ (f \cdot g)(x) $, where $ f(x) $ and $ g(x) $ are two functions, we need to consider the domains of both $ f(x) $ and $ g(x) $ and identify any values of $ x $ where either function is undefined.

Let's suppose $ f(x) $ and $ g(x) $ are defined for all real numbers except for specific values.

If $ f(x) $ is defined for all real numbers except $ x = -4 $ and $ g(x) $ is defined for all real numbers except $ x = 2 $, then the product $ (f \cdot g)(x) $ will be undefined at $ x = -4 $ and $ x = 2 $ because at least one of the functions will be undefined at these points.

So, the domain of $ (f \cdot g)(x) $ would be all real numbers except $ x = -4 $ and $ x = 2 $. Therefore, the correct answer is:

C. {x ∈ ℝ| x ≠ -4, 2}

Based on the graphs of f(x) and g(x), what must be the domain of (f • g)(x) be? A. {x ∈ R} B. {x ∈ R| x≠2} C. {x ∈ R| x≠-4,2} D. {x ∈ R| x≠-4,2,4}

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Based on the graphs of f(x) and g(x), what must be the domain of (f • g)(x) be?
A. {x ∈ R}
B. {x ∈ R| x≠2}
C. {x ∈ R| x≠-4,2}
D. {x ∈ R| x≠-4,2,4}