Find extrema of `f(x) = (x^2+4)/(2x+3)` . Draw graph of `g(x) = 1/(f(x))` and comment on its local and global extrema.

Explanation

To find the extrema of the function \( f(x) = \frac{x^2 + 4}{2x + 3} \), we will follow these steps:

### Step 1: Find the derivative of \( f(x) \)

We will use the quotient rule to differentiate \( f(x) \).

\[
f'(x) = \frac{(2x + 3)(2x) - (x^2 + 4)(2)}{(2x + 3)^2}
...