Jika f(x)= 3x+4 dan g(x)= 2x-3 maka nilai (f ○ g)^-1 (x) ?
Matematika
ditasyafebti1
Pertanyaan
Jika f(x)= 3x+4 dan g(x)= 2x-3 maka nilai (f ○ g)^-1 (x) ?
1 Jawaban
-
1. Jawaban ariza10
f(x) = 3x +4
g(x) = 2x-3
(fog)(x) = f(g(x)) = f (2x-3) = 3(2x-3)+4 = 6x-9+4 = 6x-5
(fog)(x) = 6x - 5
y = 6x - 5
6x = y+5
x = y+5/6
(fog)^-1(x) = x+5/6