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e-lub [12.9K]
3 years ago
14

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

Mathematics
2 answers:
Anna11 [10]3 years ago
8 0

Answer:

-62

Step-by-step 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

==================================

<u>Subst</u><u>ituting</u><u> </u><u>n</u><u> </u><u>=</u><u> </u><u>8</u><u> </u><u>:</u><u>-</u>

⇒ ( f • g)(n) = 2 - n²

⇒ ( f • g)(8) = 2 - 8²

⇒ (f • g)(8) = 2 - 64

⇒ ( f • g)(8) = -62 .

<h3><u>Hence </u><u>the</u><u> required</u><u> answer</u><u> </u><u>is</u><u> </u><u>(</u><u>-</u><u>6</u><u>2</u><u>)</u><u> </u><u>.</u></h3>
Lelu [443]3 years ago
3 0

Answer:

(f ○ g)(8) = - 6

Step-by-step explanation:

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

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

f(6) = - 6

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