0\\ x-1>0\\0.4\sqrt{2^\sqrt{x-1}}} + 4 >0\\2^{\sqrt{x-1}}\geq 0 \end{cases}\end{equation*}\begin{equation*} \begin{cases} 2^{\sqrt{x-1}-1} > 1 = 2^0\\ x>1\\x \in R\\x \geq 1 \end{cases}\end{equation*}\\\begin{equation*} \begin{cases} \sqrt{x-1}-1 > 0\\ x>1\\ \end{cases}\end{equation*}\\\begin{equation*} \begin{cases} \sqrt{x-1} > 1 \\ x>1\\ \end{cases}\end{equation*}\\" alt="\begin{equation*} \begin{cases} 2^{\sqrt{x-1}-1}-1 > 0\\ x-1>0\\0.4\sqrt{2^\sqrt{x-1}}} + 4 >0\\2^{\sqrt{x-1}}\geq 0 \end{cases}\end{equation*}\begin{equation*} \begin{cases} 2^{\sqrt{x-1}-1} > 1 = 2^0\\ x>1\\x \in R\\x \geq 1 \end{cases}\end{equation*}\\\begin{equation*} \begin{cases} \sqrt{x-1}-1 > 0\\ x>1\\ \end{cases}\end{equation*}\\\begin{equation*} \begin{cases} \sqrt{x-1} > 1 \\ x>1\\ \end{cases}\end{equation*}\\" align="absmiddle" class="latex-formula">
1 \\ x>1\\ \end{cases}\end{equation*}\\\begin{equation*} \begin{cases} x-1 > 1\\ x>1\\ \end{cases} => x> 2\end{equation*}\\" alt="\begin{equation*} \begin{cases} \sqrt{x-1} > 1 \\ x>1\\ \end{cases}\end{equation*}\\\begin{equation*} \begin{cases} x-1 > 1\\ x>1\\ \end{cases} => x> 2\end{equation*}\\" align="absmiddle" class="latex-formula">