Answer:
C: x = 7
Step-by-step explanation:
The easiest way to do this is to simply try all of the x-vales given as options.
Option 1: x = -1
Since , we'll use the first equation.
As we can see, g(-1) is not -4.
Option 2: x = 3
Since , we'll use the 2nd equation.
Not -4.
Option 3: x = 7
Since , we'll use the 3rd equation.
Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:
Option 4: x = 4
Since (less than <em>or equal to</em>), we'll use the 3rd equation.