F(x)2x²+5x-10 dan g(x)=4x+6 a. (fog) (x) b. (gof) (x) ​

Penjelasan dengan langkah-langkah:

Diketahui : f(x) = 2x² + 5x – 10

g(x) = 4x + 6

Ditanya : a.(fog)(x)

b.(gof)(x)

Jawab : a.(fog)(x) = f(g(x))

= 2(4x + 6)² + 5(4x + 6) – 10

= 2(16x² + 48x + 36) + 20x + 30 – 10

= 32x² + 96x + 72 + 20x + 30 – 10

= 32x² + 96x + 20x + 72 + 30 – 10

= 32x² + 116x + 92

b.(gof)(x) = g(f(x))

= 4(2x² + 5x – 10) + 6

= 8x² + 20x – 40 + 6

= 8x² + 20x – 34