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Diketahui f(x) = 2x, g(x) = 2 - x, dan h(x) = x2. Maka (h o g o f)(0) =

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Diketahui f(x) = 2x, g(x) = 2 - x, dan h(x) = x2. Maka (h o g o f)(0) = ….

Pembahasan:

f(x) = 2x

g(x) = 2 – x

h(x) = x2

(h o g o f)(0) = …. ?

f(0) = 2 . 0 = 0

(g o f)(0) = g(f(0))

                = g(0)

(g o f)(0) = 2 – 0 = 2

(h o g o f)(0) = h((g o f)(0))

                      = h(2)

(h o g o f)(0) = 22 = 4

Jadi nilai (h o g o f)(0) = 4

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