Question

1. Diketahui rumus f(x) = × + 3, g(x) = 2x +1
Dan h(×) = × kuadrat - 5 maka
((( fog )oh(x)))

Answer 1

Verified answer

(fog)(x) = f(g(x)) = f(2x+1) = (2x+1) +3 = 2x + 4

((( fog )oh(x)))= ((( fog )oh(x)))=(fog)(x²-5) = 2(x²-5) + 4 = 2x² -10 + 4 = 2x²-6

Answer 2

Verified answer

FUNGSI KOMPOSISI

f(x) = x + 3
g(x) = 2x + 1
h(x) = x² - 5

(f o g o h)(x)
= f((goh)(x))

= f(2(x² - 5) + 1)

= f(2x² - 10 + 1)

= f(2x² - 9)

= 2x² - 9 + 3

= 2x² - 6