Diket f(x)=x+4 g(x)=x²+2x+1 Tentukan (gof)(x)!

pelajaran: matematika dasar
kelas x
tentang fungsi


diketahui:
f(x)=x+4
g(x)=x²+2x+1

dit : (gof)(x)...?

jawab :
(gof)(x)=g(f(x))
(gof)(x)=(x+4)²+2(x+4)+1
(gof)(x)=x²+8x+16+2x+8+1
(gof)(x)=x²+10x+25

semoga bermanfaat

f (x) = x + 4 dan g (x) = x^2 + 2x + 1
(g o f) (x ) = g { f (x) }
= g ( x +4)
= (x + 4)^2 + 2(x + 4) + 1
= x^2 + 8x + 16 + 2x + 8 + 1
= x^2 + 10x + 25