Question

Diketahui h(x) = 2x-4, g(x) = x^2-1, dan f(x) = 5x + 9. Fungsi komposisi (f o g o h)(x)

Answer 1

Fogoh (x) = (fog)og (x)
fog(x) = f(g(x))
= 5(x^2-1)+9
= 5x^2-5+9
= 5x^2+4

(fog)oh (x) = fog(h(x))
= 5(2x-4)^2+4
= 5(4x^2-16x+16)+4
= 20x^2-80x+80+4
= 20x^2-80x+84

Answer 2

(f ○ g ○ h)(x)
→ (f (g (h (x)) ) )
→ (f (g (2x-4)) )
→ (f ((2x-4)²-1) )
→ (f (4x²-16x+16-1) )
→ (f (4x²-16x+15) )
→ 5 (4x²-16x+15) +9
→ 20x²-80x+75+9
→ 20x²-80x+84