Question

diketahui fungsi f : R → R, dan g : R → R, dengan f(x) = x + 3 dan g(x) = x² - 2. Maka (gof)(x) = ....​

Answer 1

f(x) = x + 3

g(x) = x² - 2

(g o f) (x) = g(f(x))

= (x + 3)² - 2

= x² + 6x + 9 - 2

= x² + 6x - 7

Answer 2

• f(x) = x + 3
• g(x) = x² - 2

Maka:

(g o f)(x) = g(f(x))

(g o f)(x) = (x + 3)² - 2

(g o f)(x) = (x² + 2(x)(3) + 9) - 2

(g o f)(x) = x² + 6x + 9 - 2

(g o f)(x) = x² + 6x - 7