Question

bantuinn dong, ini soal komposisi fungsi dan fungsi invers​

Answer 1

Jawab: -3

Penjelasan dengan langkah-langkah:

f(x) = 3x-1 , (fog)(x) = 3x+2

g-1 (-2) = ?

cari g(x) dulu:

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

3x+2 = 3(g(x)) -1

g(x) = 3x -1 -3x + 2

g(x) = x + 1

lalu cari invers:

g(x) = x + 1

y = x + 1

x = y - 1

g-1 = x - 1

g-1 (-2) = (-2) - 1

= -3