Question

Angelica has two function machines: ( g(x) = x - 5 ) and ( h(x) = x² - 6 ). She wants to arrange them so that the output of the first machine becomes the input of the second. If the beginning input is 6, what is the final output?

Answer 1

To arrange the function machines, input 6 into the first machine (g(x)) and compute g(6). Then take the output and input it into the second machine (h(x)) to get the final output.

Step-by-step explanation:

To arrange the two function machines, we need to input the output of the first machine into the second machine. Given that the beginning input is 6, we can follow these steps:

1. Input 6 into the first function machine, g(x), and compute g(6) = 6 - 5 = 1.
2. Take the output of the first machine, which is 1, and input it into the second function machine, h(x). Compute h(1) = 1² - 6 = -5.

Therefore, the final output is -5.