Find the domain and range of the following real functions:(i) `f(x)=-|x|` (ii) `f(x)=sqrt(9-x^2)`

Explanation

To find the domain and range of the given functions, we will analyze each function step by step.

### (i) Function: \( f(x) = -|x| \)

**Step 1: Determine the Domain**
- The function \( f(x) = -|x| \) involves the absolute value function \( |x| \).
- The absolute value function is defined for all real numbers. Therefore, we can substitute any real number into \( f(x) \).
- Thus, the domain of \( f(x) \) is:
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