Respuesta :
Answer:
[tex]a.(fog)(x) = 7x + 7 \\ b.(gof)(x) = 7x + 1 \\ c.(fog)(4) = 35 \\ d.(gof)(4) = 29[/tex]
Step-by-step explanation:
Greetings !
a. (fog)(x)= f[g(x)] = 7(x+1)
- (fog)(x)= 7x+7
b. (gof)(x) = g[f(x)] =7x+1
c. (fog)(4)=7(4)+7=28+7=35
d. (gof)(4)= 7(4)+1=28+1=29
- f(x)=7x
- g(x)=x+1
(fog)(x)
- f(g(x))
- f(x+1)
- 7x+7
(gof)(x)
- g(f(x))
- g(7x)
- 7x+1
(fog)(4)
- 7(4)+7
- 35
(gof)(4)
- 7(4)+1
- 29