Question

1

The functions h and k are shown. What is the value of h(k(3))?
X
11
h(x) = x + 5
k(x) = 2x² - 4x +9

a. 120
b. 20
c. 23
d. 105

Answer 1

Answer b

Explanation:

To find the value of h(k(3)), we first need to evaluate k(3), and then use the result to evaluate h.

Given:

h(x) = x + 5

k(x) = 2x² - 4x + 9

First, let's evaluate k(3):

k(3) = 2 × 3² - 4 × 3 + 9

= 2 × 9 - 12 + 9

= 18 - 12 + 9

= 15

Now that we have k(3) = 15, we can plug this value into h:

`\sf h(k(3)) = h(15) = 15 + 5 = 20`

So, the value of h(k(3)) is 20.