Find the maximum and minimum values of the function `f(x)=4/(x+2)+x` .

Explanation

To find the maximum and minimum values of the function \( f(x) = \frac{4}{x + 2} + x \), we will follow these steps:

### Step 1: Find the derivative of the function
We start by differentiating the function \( f(x) \).

\[ f'(x) = \frac{d}{dx}\left(\frac{4}{x + 2}\right) + \frac{d}{dx}(x) \]
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