Question

2. diketahui
f(x) = 2x² + 5
g(x) = x - 3
tentukanlah :
a.f o g (x)
b. g o f (x)​

Answer 1

Jawab:

Penjelasan dengan langkah-langkah:

f(x) = 2x² + 5

g(x) = x - 3

a. (fog)(x) = f(g(x))

= 2 (g(x))² + 5

= 2 (x - 3)² + 5

= 2 (x² - 6x + 9) + 5

= 2x² - 12x + 18 + 5

= 2x² - 12x + 23

b. (gof)(x) = g(f(x))

= f(x) - 3

= 2x² + 5 - 3

= 2x² + 2