Since we cannot divide by \(0\) we know that \(x\) cannot equal to either \(0\) or \(1\). And since we cannot take the square root of a negative number (recall that output numbers must be real numbers), then \(x-1 \ge 0\). Taken together these two restrictions mean that \( x-1 > 0\). Thus the implicit domain is the interval \((1,\infty)\)