Diketahui:

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f(x) = x² + 3x – 2
g(x)= x + 3
h(x)= 2x – 1

Ditanya:
a.(H•G•F)(x)
b.(H•H•H)(x)
c.(G•G•G)(x)​

Diketahui:

f(x) = (x² + 3x – 2)

g(x) = (x + 3)

h(x) = (2x – 1)

(hogof)(x) = h(g(f(x)))

(hogof)(x) = h(g(x² + 3x – 2))

(hogof)(x) = h((x² + 3x – 2) + 3)

(hogof)(x) = h(x² + 3x – 2 + 3)

(hogof)(x) = h(x² + 3x + 1)

(hogof)(x) = 2•(x² + 3x + 1) – 1

(hogof)(x) = (2x² + 6x + 2) – 1

(hogof)(x) = 2x² + 6x + 2 – 1

(hogof)(x) = 2x² + 6x + 1

(hohoh)(x) = h(h(h(x)))

(hohoh)(x) = h(h(2x – 1))

(hohoh)(x) = h(2•(2x – 1) – 1)

(hohoh)(x) = h((4x – 2) – 1)

(hohoh)(x) = h(4x – 2 – 1)

(hohoh)(x) = h(4x – 3)

(hohoh)(x) = 2•(4x – 3) – 1

(hohoh)(x) = (8x – 6) – 1

(hohoh)(x) = 8x – 6 – 1

(hohoh)(x) = 8x – 7

(gogog)(x) = g(g(g(x)))

(gogog)(x) = g(g(x + 3))

(gogog)(x) = g((x + 3) + 3)

(gogog)(x) = g(x + 3 + 3)

(gogog)(x) = g(x + 6)

(gogog)(x) = (x + 6) + 3

(gogog)(x) = x + 6 + 3

(gogog)(x) = x + 9