The domain of the function is Domain: x ∈ ℝ.
The function is defined as the product of three factors: (x-5), (c-4), and (x-2). For the function to be defined, all three factors must be defined.
Factor 1: (x-5) is defined for all real numbers x.
Factor 2: (c-4) is defined for all real numbers c.
Factor 3: (x-2) is defined for all real numbers x.
Therefore, the function F(x) is defined for all real numbers. This means the domain of the function is the set of all real numbers, written mathematically as: Domain: x ∈ ℝ (or simply ℝ)
Complete question:
Find the domain of the function F(x)=(x-5)(c-4)(x-2)