Diketahui f(x) = x²+4x-1 dan g(x) =6-2x tentukan (fog) (x) dan (gof) (x)

(fog)(x)=(6-2x)²+4(6-2x)-1=36-24x+4x²+24-8x-1=4x²-32x+59

(gof)(x)=6-2(x²+4x-1)=6-2x²-8x+2=8-8x-2x²

f(x) = x²+4x-1
g(x) = 6-2x
(f o g)(x)
= f(g(x))
= f (6-2x)
= (6-2x)² + 4(6-2x) -1
= 6²- 24x+x² + 24-8x -1
= 36 - 24x +x² + 24 - 8x - 1
=x² - 32 + 59

(g o f)(x)
= g (f(x))
= g (x²+4x-1)
= 6 - 2(x²+4x-1)
= 6 - 2x²-8x+2
= -2x² - 8x + 8

maaf kalo salah