Question

Let g(x) = 5x and h(x) = x^2 + 4. Find (g . h) (0).**

A. 0
B. 20
C. 24
D. 100

Answer 1

The value of (g . h) (0) is found by first evaluating h(0) which gives 4, then applying g to this result producing g(4) = 20. Therefore, the answer is 20, option B.

Step-by-step explanation:

To find (g . h) (0), we need to evaluate the function h at x = 0 and then apply the function g to the result. First, let's evaluate h(0):

h(0) = 02 + 4 = 4

Now, we apply g to h(0) which is 4:

g(h(0)) = g(4) = 5 × 4 = 20

Therefore, the answer to (g . h) (0) is 20, which corresponds to option B.