Ответ:

[0;3]

Объяснение:

[tex]\left\{\begin{matrix} 3-}|x|\geq 0 \\ x\geq 0 \\ \sqrt{x} +1 \neq 0 \end{matrix}\right. \ \Leftrightarrow \ \left\{\begin{matrix} 3-}x\geq 0 \\ x\geq 0 \end{matrix}\right. \ \Leftrightarrow \ \left\{\begin{matrix} x \leq 3 \\ x\geq 0 \end{matrix}\right. \ \Leftrightarrow \ x \in [0;3][/tex]