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for f(x)=7x and g(x)=x+1, find the following functions. a.(fog)(x); b.(gof)(x); c.(fog)(4); d.(gof)(4)

Sagot :

cygnusabc00

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

MisterBrainly
  • 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
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