1. Dik: F(x)=3x+1 G(x)=2x² Dit: a.fog(x) b.gof(x) c.fog(1) d.gof(1) 2. Dik: h(x)=2x f(x)=2x+4 g(x)=3x+1 Dit: a.hof(x) b.hog(x) c.hofoh(2) TOLONG JAWAB SENIN D

1.
a. (fog)(x) = f(g(x))
= f(2x^2)
= 3(2x^2)+1
= 6x^2+1

b. gof(x) = g(f(x))
= g(3x+1)
= 2(3x+1)^2
= 2(9x^2+6x+1)
= 18x^2 + 12x + 2

c. fog = f(g(1))
= f(2)
= 3.2 + 1
= 7

d. gof (1) = g(f(1))
= g(3.1+1)
= g (4)
= 2.4^2
= 32

yg no. 2 spt diatas kerjakan sendiri dulu, ya

1. f(x) = 3x+1 dan g(x)= 2x^2
a) Fog(x) = 3(2x^2) + 1
= 6x^2 + 1
b) gof(x) = 2 (3x+1)^2
= 2 (3x^2 +6x + 1)
= 6x^2 +12x +2
c) fog(1) = 6x^2 + 1
= 6 (1)^2 + 1 = 6.1+1 = 7
d) gof(1) = 6x^2 +12x + 2
= 6 (1)^2 +12(1) + 2 = 6+12+2 = 20

2.h(x) = 2x dan f(x) = 2x+4 dan g(x) = 3x+1
a) hof(x) = 2(2x+4) = 4x+8
b)hog(x) = 2(3x+1) = 6x+2
c)hofoh(x) = hasil hof sudah diketahui. maka h(x) dimasukkan ke hof
= 4x+8
= 4(2x) +8 = 8x+8