Question

Diketahui f(x)=x-3 dan (g o f)(x)=2x^2-x+5. Rumus fungsi g(x)

Answer 1

Verified answer

Bab Fungsi Komposisi
Matematika SMA Kelas X

(gof) (x) = 2x² - x + 5
g (f(x)) = 2x² - x + 5
g (x - 3) = 2x² - x + 5
g(x + 3 - 3) = 2 (x + 3)² - (x + 3) + 5
g(x) = 2(x² + 6x + 9) - x - 3 + 5
g(x) = 2x² + 12x + 18 - x + 2
g(x) = 2x² + 11x + 20