Diketahui fungsi f(x) = 4x + 3 dan fungsi g(x) = x – 1tentukan fungsi komposisi (fog)(x) ​

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Diketahui fungsi f(x) = 4x + 3 dan fungsi g(x) = x – 1tentukan fungsi komposisi (fog)(x) ​

Jawab:

(fog)(x)= 4x – 1

Penjelasan dengan langkah-langkah:

(fog)(x)

= f(g(x))

= f(x-1)

= 4(x-1) + 3

= 4x – 4 + 3

= 4x -1

》Fungsi Komposisi

f(x) = 4x + 3

g(x) = x – 1

(fog)(x) = f(g(x))

  • = f(x – 1)
  • = 4.(x – 1) + 3
  • = 4x – 4 + 3
  • = 4x – 1