Diketahui f:R➡R,g:R➡R,g(x) = 2x + 3 dan (f o g) (x) = 12x kuadrat + 32 x + 26 ,rumus f(x) =......

Bab Fungsi
Matematika SMA Kelas XI

(fog) (x) = 12x² + 32x + 26
f(2x + 3) = 12x² + 32x + 26
f(2 . x/2 + 3) = 12 . (x/2)² + 32 . (x/2) + 26
f(x + 3) = 12 . x²/4 + 16x + 26
f(x - 3 + 3) = 3 (x - 3)² + 16 (x - 3) + 26
f(x) = 3(x² - 6x + 9) + 16x - 48 + 26
f(x) = 3x² - 2x + 5