Find F ∘ G And G ∘ F. F(x) = X3, G(x) = X2/3 | Wyzant Ask An Expert

Subject ZIP Search Search Find an Online Tutor Now Ask Ask a Question For Free Login Pre Calculus Pre Calculus Find f ∘ g and g ∘ f. f(x) = x3, g(x) = x2/3

(a)    f∘ g =

(b)    g ∘ f=

Find the domain of each function and each composite function. (Enter your answers using interval notation.)

domain of f =

domain of g =

domain of f ∘ g =

domain of g ∘ f =

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02/11/21

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02/12/21

1 Expert Answer

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f(g(x)) = ((x2/3))3 = x2/3 * 3 = x2

g(f(x)) = ((x3))2/3 = x3 * 2/3 = x2

Domain of f(x) is (-∞, ∞)

Domain of g(x) is (-∞, ∞)

Domain of both composit functions (-∞, ∞)

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