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Find f ∘ g, g ∘ f, and g ∘ g. f(x) = 4x, g(x) = x4 (4th power)

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asked Apr 22, 2018 in PRECALCULUS by anonymous
reshown Apr 22, 2018 by bradely

1 Answer

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f ∘ g(x) =f(g(x))

                =f(x^4)

                = 4(x)^4

g ∘ f(x) =g(f(x))

                =g(4x)

                =(4x)^4

                = 256x^4

g ∘ g(x) =g(g(x))

                =g(x^4)

                = (x^4)^4

                = (x)^16

answered May 8, 2018 by homeworkhelp Mentor

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