diketahui fungsi f(3x-1)=x-1 dan fungsi g(x) = 18x^2-3x+1 fungsi komposisi (g°f)(x) adalahh

Kelas 10 Matematika
Bab Fungsi Komposisi

f(3x - 1) = x - 1
f(3 . x/3 - 1) = (x/3) - 1
f(x - 1) = (x - 3)/3
f(x + 1 - 1) = (x + 1 - 3)/3
f(x) = (x - 2)/3

(gof) (x) = g ((x - 3)/3)
(gof) (x) = 18 . ((x - 3)/3)² - 3 (x - 3)/3 + 1
(gof) (x) = 18 . (x² - 6x + 9)/9 - x + 3 + 1
(gof) (x) = 18x² - 108x + 162 - x + 4
(gof) (x) = 18x² - 109x + 166