The domain of the function f(x)=sqrt (1-lnx) is D xleqslant e 0leqslant xleqslant e xlt e 0lt xlt e 0lt xleqslant e

## Step 1: Argument of Square Root must be Non-Negative### The argument of the square root must be non-negative, so .## Step 2: Simplify the Inequality### Rearranging the inequality gives .## Step 3: Exponentiate Both Sides### Exponentiating both sides with base yields , or .## Step 4: Consider the Domain of the Logarithm### The domain of is .## Step 5: Combine the Conditions### Combining and , we get .