Question

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

Answer 1

Recall that:

`(f\circ g)(x)=f(g(x)).`

Therefore:

`(h\circ k)(1)=h(k(1)).`

From the given diagram we get that:

`k(1)=3.`

Then:

`h(k(1))=h(3).`

Now, from the given table we get that:

`h(3)=28.`

Therefore:

`(h\circ k)(1)=28.`

Answer: Option A