Question

use the function machines to find the value of f(g(-5)). that is, use the output of the first machine as the machine.
drag the correct values to the function machines. not all values will be used.
-5

• g(x) = |3x| *
• f(x) = x - 4 *

-19 -15 -11 11 15

Explanation:

Step1: Calculate $g(-5)$

$g(-5) = |3\times(-5)| = |-15| = 15$

Step2: Use $g(-5)$ as input for $f(x)$

$f(g(-5)) = f(15) = 15 - 4 = 11$

Answer:

First function machine output (for $g(-5)$): 15
Final function machine output (for $f(g(-5))$): 11