Answer:
Given expression:
- [tex]\sqrt{2x+2}+\sqrt{6-4x}[/tex]
The first root is valid when:
- 2x + 2 ≥ 0 ⇒ 2x ≥ - 2 ⇒ x ≥ - 1
The second root is valid when:
- 6 - 4x ≥ 0 ⇒ 4x ≤ 6 ⇒ x ≤ 1.5
So the variable x can get values within interval:
- -1 ≤ x ≤ 1.5 or
- x = [-1, 1.5]
