diketahui fungsi f(x)=x2 dan g(x)=3x-4 Tentukanlah: a.(fog) (x) b.(gof) (x) c.(fog) (1) d.(gof) (-1)

Question

Matematika Diposting : 2018-02-02 Diupdate : 2021-10-13 fadhly18

Pertanyaan

diketahui fungsi f(x)=x2 dan g(x)=3x-4
Tentukanlah:
a.(fog) (x)
b.(gof) (x)
c.(fog) (1)
d.(gof) (-1)

Answer 1

FoGx= fgx = 2(3x-4)=6x-8
GoFx=gfx= 3(2x)-4=6x-4
fog(1)=6x-8=6(1)-8=-2
gof(-1)=6x-4=6(-1)-4=-10

Answer 2

a.(f°g)(x) = (3x-4)2 = 6x-8
b.(g°f)(x) = 3(x2) -4 = 6x-4
c.(f°g)(1) = 6(1)-8 = -2
d. (g°f)(-1) = 6(-1)-4 = -10