Question

Consider these functions: Two pairs of ellipses are labeled x and g of x, and x and h of x. The first pair x has 0, 2, 4, and 6 corresponds to 3, 4, 5, 6 respectively of g of x. The second pair x has 0, 1, 4, and 9 corresponds to 0, 1, 2, 3 respectively of h of x. What is the value of x when g(h(x)) = 4?

Answer 1

To find the value of x when g(h(x)) = 4, we need to first determine the value of h(x) and then substitute that value in g(x) to find the corresponding value of x. From the given information, h(x) = x. Substituting h(x) = x into g(x) reveals that when x is 5, g(h(x)) = 4.

Step-by-step explanation:

To find the value of x when g(h(x)) = 4, we need to first determine the value of h(x) and then substitute that value in g(x) to find the corresponding value of x.

From the information given, we know that when x is 0, h(x) is 0.

And when x is 1, h(x) is 1. Therefore, we can conclude that h(x) = x.

Now, we substitute h(x) = x into g(x) to find the value of x when g(h(x)) = 4.

From the first pair of ellipses, we can see that when x is 4, g(x) is 5.

Therefore, when x is 5, g(h(x)) = 4. So, the value of x when g(h(x)) = 4 is 5.