Dik f(x)=6x+2 dan g(x)=x-3ditanya:a.fog (x)b.gof (x)c.fof (x)d.gog (x)​

Jawaban:

a. 6x-16

b. 6x-1

c. 36x+14

d. x-6

Penjelasan dengan langkah–langkah:

a.

(f o g)(x)

= f(g(x))

= f(x-3)

= 6(x-3)+2

= 6x-18+2

= 6x-16

b.

(g o f)(x)=

g(f(x))

= g(6x+2)

= (6x+2)-3

= 6x-1

c.

(f o f)(x)

= f(f(x))

= f(6x+2)

= 6(6x+2)+2

= 36x+12+2

= 36x+14

d.

(g o g)(x)

= g(g(x))

g(x-3)

= (x-3)-3