Diketahui: - Universityku

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:

Jawab:

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

$=2(x^{2} +3x+1)-1$ g(f(x)) $= (x^{2} +3x-2)+3$

$= 2x^{2} +6x+2-1$ $= x^{2} +3x+1$

$=2x^{2} +6x+1$

b.) (h o h o h) (x) = h(h(h(x)))

= 2(4x-3)-1 h(h(x)) = 2(2x-1)-1

= 8x-6-1 = 4x-2-1

= 8x-7 = 4x-3

c.) (g o g o g) (x) = g(g(g(x)))

= (x+6)+3 g(g(x)) = (x+3)+3

= x+9 = x+6

Semoga Membantu 🙂