RyaneJ649489 RyaneJ649489
  • 25-10-2022
  • Mathematics
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Consider functions h and k. Every x value has a relationship in k of x. What is the value of (h o k)(1)? A. 28 B. 4 C. 1 D. 0

Consider functions h and k Every x value has a relationship in k of x What is the value of h o k1 A 28 B 4 C 1 D 0 class=

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DanielisJ190303 DanielisJ190303
  • 25-10-2022

Recall that:

[tex](f\circ g)(x)=f(g(x)).[/tex]

Therefore:

[tex](h\circ k)(1)=h(k(1)).[/tex]

From the given diagram we get that:

[tex]k(1)=3.[/tex]

Then:

[tex]h(k(1))=h(3).[/tex]

Now, from the given table we get that:

[tex]h(3)=28.[/tex]

Therefore:

[tex](h\circ k)(1)=28.[/tex]

Answer: Option A

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