Question

Jika f(x)=2x-1/x+2 dan g(x)=2-x/x+2
tentukan
a. (f o f)(x)
b. (g o f)(2)

Tanda ( / ) itu per

Answer 1

Jawab:

a) (f o f)(x) = (3x - 4) / (4x + 3)

b) (g o f)(2) = 5/11

Penjelasan dengan langkah-langkah:

f(x) = (2x - 1) / (x + 2)

g(x) = (2 - x) / (x + 2)

Option a (Gambar Terlampir)

Option b :

f(x) = (2x - 1) / (x + 2)

f(2) = (2.2 - 1) / (2 + 1) = 3/4

(g o f)(2)

= g(f(2))

= g (3/4)

= (2 - 3/4) / (3/4 + 2)

= (8/4 - 3/4) / (3/4 + 8/4)

= (5/4) / (11/4)

= 5/11