Question

Consider these functions: two pairs of ellipses are labeled x and g of x, and x and h of x.

x g(x)
0 3
2 4
4 5
6 6

x h(x)
0 0
1 1
4 2
9 3
what is the value of x when g(h(x)) = 4?
a. 0
b. 2
c. 4 d. 5

Answer 1

To find x when g(h(x)) = 4, substitute h(x) into g(x) and solve for x. From the given table, x = 2 when g(h(x)) = 4.

Step-by-step explanation:

To find the value of x when g(h(x)) = 4, we need to substitute h(x) into g(x) and solve for x.

1. Start by substituting the values of h(x) into g(x). We have g(h(x)) = g(0), g(1), g(4), g(9), g(16).
2. Next, check which value of x gives g(h(x)) = 4. From the given table, we can see that when x = 2, g(h(x)) = 4.
3. Therefore, the value of x when g(h(x)) = 4 is 2.