Question

[Function Composition] could someone help me with this answers or show work either is fine

Answer 1

Answer:

The required answer is 100 .

Step-by-step explanation:

Given function to us is ,

⇒ f(n) = 4n + 2 . And we need to find (f • f) (-3)

So , first let's find f•f , which will be ,

⇒ (f • f) = (4n + 2)(4n + 2)

⇒ (f • f) = 4n ( 4n + 2 ) +2 ( 4n + 2)

⇒ (f • f) = 16n² + 8n + 8n + 4

⇒ (f • f) = 16n² + 16n + 4

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Now we need to find (f • f)(-3) . So on substituting f = (-3) , we have :-

⇒ (f • f)(n) = 16n² + 16n + 4

⇒ (f • f)(-3) = 16*(-3)² + 16*(-3) + 4

⇒ (f • f) (-3) = 16* 9 - 48 + 4

⇒ (f • f)(-3) = 144 - 44

⇒ ( f • f) (-3) = 100

Hence the value of ( f • f)(-3) is 100 .