If `f(x)=1/(2x+1),\ x!=-1/2,\ ` then show that `f(f(x))=(2x+1)/(2x+3)` , provided that `x!=-3/2dot`

Explanation

To show that \( f(f(x)) = \frac{2x + 1}{2x + 3} \) for the function \( f(x) = \frac{1}{2x + 1} \), we will follow these steps:

### Step 1: Define the function
We start with the function given:
\[ f(x) = \frac{1}{2x + 1} \]

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