F(3x-1)=x-1g(x)= 18x2 -3x+1 fungsi komposisi gof

jawab

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

g(x) = 18x² - 3x + 1

gof(x) = g{f(x)}
= g (1/3 x - 2/3 )
= 18 {1/3 (x - 2)}² - 3 {1/3 (x - 2)} + 1
= 18 { 1/9 (x - 2)² } - (x - 2) + 1
= 2(x - 2)² -  (x - 2) + 1
= 2(x² - 4x + 4) - x + 2 + 1
= 2x² -8x + 8 - x + 2 + 1
= 2x² - 9x + 11