Gimana nyelesaikannya Fungsi komposisi kelas X​

Jawab:

2. f(x) = x + 2

(g o f)(x) = x² + 2x + 1

g(f(x)) = x² + 2x + 1

g(x + 2) = x² + 2x + 1

Misal, a = x + 2  maka x = a – 2

jadi,

g(a) = (a – 2)² + 2(a – 2) + 1

g(a) = a² – 4a + 4 +2a – 4 + 1

g(a) = a² – 2a + 1

jadi, g(x) = x² -2x + 1

3. f(x) = 2x – 3

  g(x) = x + 1

  (f o g)(x) = 7

  f(g(x)) = 7

  f(x + 1) = 7

  2(x + 1) – 3 = 7

  2x + 2 – 3 = 7

   2x -1 = 7

 2x = 8

  x =4