diketahui ( fog )( x + 2 ) = 12x - 5 dan f(x) = 6x + 1 maka rumus fungsi g(x) adalah

Kelas 10 Matematika
Bab Fungsi Komposisi

(fog) (x + 2) = 12x - 5
(fog) (x - 2 + 2) = 12(x - 2) - 5
(fog) (x) = 12x - 24 - 5
(fog) (x) = 12x - 29
f(g(x)) = 12x - 29
6 g(x) + 1 = 12x - 29
6 g(x) = 12x - 29 - 1
g(x) = (12x - 30)/6
g(x) = 2x - 5