The domain of f(x) is the set of all real values except 7 , and the domain of g(x) is the set of all real values except -3. Witch of the following describes the domain of (g•f)(x)?
Question
Answer:
Answer: the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.Explanation:
Taking (g•f)(x) as (g o f) (x), this is g (x) composed with f(x) you have this analysis.
(g o f) (x) is g [ f(x) ], which means that you first apply the function f and then apply the function g to the output of f(x).
The domain of g [ f(x) ] has to exclude 7, because it is not included in the domain of f(x).
Also the domain thas to exclude those values of x for which f(x) is - 3, because the domain of g(x) is the set of all real values except - 3.
So, the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.
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