A. F(x) jika g(x) = 2x + 1
Tolong dengan caranya?
Diketahui (f °g)(x) = 4x² – 4x – 5. Tentukanlah :
G(x) = 2x + 1 a = 2x + 1 a-1/2 = x (a-1)/2 = x
f(g(x)) = 4×2 – 4x – 5
f(a) = 4(a-1/2)2 – 4(a-1/2) – 5 (Dikalikan 2 semua)
2f(a) = 8(a-1)2 – 8(a-1) – 10
= 8(a-1)(a-1) – 8a + 8 – 10
= 8(a2 – 2a + 1) – 8a – 2
= 8a2 – 16a + 8 – 8a – 2
2f(a) = 8a2 – 24a + 6
f(a) = 4a2 – 12a + 3 (Dibagi 2)
f(x) = 4×2 – 12x +3