Answer: x = 4
Step-by-step explanation:
Here we have a piecewise function.
One piece works for values of x such that: -6 < x < 0
And the other piece works for values of x such that: 0 < x ≤ 4
Then the domain of this function is:
D = (-6, 0) U (0, 4]
Notice that, becuse we use the symbols ><, the values of x:
x = -6
x = 0
Do not belong to this domain.
While becuase we use the symbol ≤ in the right end, the value x = 4 does belong to the domain.
Then for the given options, the only value that belongs to the domain is the third option, x = 4.
