fungsi f:R-R dan g:R-R yang dirumuskan oleh f(x)=x²+2x-3 dan g(x)=2x+3. tentukan: a. (fog)(x) b. (gof)(x)

Kelas 10 Matematika
Bab Fungsi Komposisi

a] (fog) (x) = f(2x + 3)
(fog) (x) = (2x + 3)² + 2(2x + 3) - 3
(fog) (x) = 4x² + 12x + 9 + 4x + 6 - 3
(fog) (x) = 4x² + 16x + 12

b] (gof) (x) = g(x² + 2x - 3)
(gof) (x) = 2(x² + 2x - 3) + 3
(gof) (x) = 2x² + 4x - 6 + 3
(gof) (x) = 2x² + 4x - 3