Will give a brainliest if ur correct !

find the domain of the following function.

f(x)= 3 if -4 ≤ x < 2 and 2x if 2 ≤ x ≤ 10

a.
all real numbers
b.
all real numbers except for 2
c.
-∞ < x ≤ 10
d.
-4 ≤ x ≤ 10

I believe a graph is easier to understand this problem:

(- ∞(- 4)0(+2)(+10)---(+∞)
a) (-4 ≤ x < 2)                     ⊕∅    interval[  -4 , 2[
b) (2 ≤ x ≤ 10)                                             ⊕⊕ [2, 10]

Domaine = [ -4, 2[ ∪ [ 2, 10]

Domaine -4 ≤ x≤ 10

The answer would be choice b