Functions

The function given is . To determine its domain, we need to ensure that the expression inside the square root is non-negative: . This implies , which simplifies to . However, no real numbers satisfy this, suggesting no values for outright. Instead, we explore when is valid.

1. The function is defined when . Thus we need , resulting in .

2. Solving gives or . This doesn't affect the range since square root demands non-negativity.

3. For , further solve , yielding , but isn't real at specific intervals where , particularly not allowed .

4. Thus, solve , , meaning .

Combining results: is defined for .

Domain: .