Solving a Composite Function Equation

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Let the function $f$ be defined by $f(x)=\frac{1}{x+4}$ . For what values of $x$ is $f(f(x)) = x$ ?

$x = -2+\sqrt{5} \text{ and } x = -2-\sqrt{5}$

$x = -2+\sqrt{5}$

$x = \frac{1}{x+4}$

$x = -2-\sqrt{5}$

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