Find the domain and range of the following functions.
(i) `f(x)=sqrt(2x-3) " (ii) " f(x) =(1)/(x-2)`
(iii) `f(x) =x^(2) +3 " (iv) " f(x)=(1)/(x^(2)+2)`

Explanation

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

### (i) \( f(x) = \sqrt{2x - 3} \)

**Step 1: Find the domain.**
To find the domain, we need to ensure that the expression inside the square root is non-negative:
\[
2x - 3 \geq 0
...