Question

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

Answer 1

(f ￮ g)(8) = - 6

Explanation:

Evaluate g(8), then substitute the value obtained into f(n)

g(8) = 8 - 2 = 6 , then

f(6) = - 6

Answer 2

-62

Explanation:

Two functions are given to us , which are ,

`\bf\implies f(n)= -n \\\\\bf\implies g(n)= n - 2`

We need to find , ( f • g )(8) . So ,

⇒ ( f • g) = - n ( n - 2 )

⇒ ( f • g) = -n² + 2

⇒ (f • g) = 2 - n²

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Substituting n = 8 :-

⇒ ( f • g)(n) = 2 - n²

⇒ ( f • g)(8) = 2 - 8²

⇒ (f • g)(8) = 2 - 64

⇒ ( f • g)(8) = -62 .

Hence the required answer is (-62) .