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Diketahui f(x) = x + 2, g(x) = 2x - 1, dan h(x) = x² + 3x - 4. Tentukan: a. (h o f o g)(2) b. (g o h o f)(-3)

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Diketahui f(x) = x + 2, g(x) = 2x - 1, dan h(x) = x² + 3x - 4. Tentukan:

a. (h o f o g)(2)

b. (g o h o f)(-3)

Jawab:

f(x) = x + 2

g(x) = 2x – 1

h(x) = x² + 3x – 4

a. (h o f o g)(2) = (h o f)(g(2))

      = (h o f)(2 . 2 – 1)

      = (h o f)(3)

      = h(f(3))

      = h(3 + 2)

      = h(5)

      = 5² + 3(5) – 4

      = 25 + 15 – 4

      = 36

b. (g o h o f)(-3) = (g o h)(f(-3))

      = (g o h)(-3 + 2)

      = (g o h)(-1)

      = g(h(-1))

      = g((-1)² + 3(-1) – 4)

      = g(1 – 3 – 4)

      = g(-6)

      = 2(-6) – 1

      = -13

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