Exame Nacional De Matemática (12.a Classe) Practice Questions - Angola 12th Grade National Examination - Mathematics (Exame Nacional De Matemática Da 12.a Classe) Exam

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Given the functions f(x) = sqrt(x - 4) and g(x) = x^2 - 5, what is the composite function (f o g)(x) and its natural domain in R?

(f o g)(x) = sqrt(x^2 - 9) with domain (-inf, -3] U [3, +inf) (f o g)(x) = x - 3 with domain [3, +inf) (f o g)(x) = sqrt(x^2 - 9) with domain [-3, 3] (f o g)(x) = x^2 - 9 with domain R

Correct Answer:

(f o g)(x) = sqrt(x^2 - 9) with domain (-inf, -3] U [3, +inf)

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