Diketahui f (x) = x -2 dan g (x) = 3x -1 tentukanlah. a, (f°g)(x) . b,(g°f)(x). c, (g°f)(-2)​

Jawaban:

a. 3x – 3

b. 3x – 7

c. -13

Penjelasan dengan langkah-langkah:

f(x) = x – 2

g(x) = 3x – 1

a. (f ° g)(x) = f(g(x))

= f(3x – 1)

= 3x – 1 – 2

= 3x – 3

b. (g ° f)(x) = g(f(x))

= g(x – 2)

= 3(x – 2) – 1

= 3x – 6 – 1

= 3x – 7

c. (g ° f)(-2) = 3(-2) – 7

= -6 – 7

= -13

Penjelasan dengan langkah-langkah:

f (x) = x -2 dan g (x) = 3x -1

a) (f o g)(x) = 3x – 1 – 2 = 3x – 3

b) (g o f)(x) = 3(x-2)-1 = 3x – 7

c) (g o f)(-2) = 3(-2) – 7 = – 13