Answer:
Step-by-step explanation:
Given function:
- [tex]f(x) = \sqrt{2 - x - x ^ 2}[/tex]
As any square root function, its range is all non-negative numbers:
- f(x) ≥ 0 or f(x) ∈ [0, +∞)
The domain the x values when the expression under root is non-negative:
- 2 - x - x² ≥ 0
- x² + x - 2 ≤ 0
- (x + 2)(x - 1) ≤ 0
- - 2 ≤ x ≤ 1
or
