diket f(x)=x-2 g(x)=x²+1 tentukan .a.fog(-2) b.gof(3)

pelajaran: matematika dasar
kelas x
tentang fungsi

diketahui:
f(x)=x-2
g(x)=x²+1

dit:
a. (fog)(-2)=....?
b. (gof)(3)=...?

jawab:

a.(fog(x)=f(g(x))
(fog)(x)=x²+1-2
(fog)(x)=x²-1
(fog)(-2)=(-2)²-1=4-1=3


b. (gof)(x)=g(f(x))
(gof)(x)=(x-2)²+1
(gof)(x)=x²-4x+4+1
(gof)(x)=x²-4x+5
(gof)(3)=(3)²-4(3)+5
(gof)(3)=9-12+5=2

semoga bermanfaat