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- Feb 14, 2012

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The function $f$ is defined on the set of integers and satisfies

\[ f(n)=\begin{cases}

n-3, & \text{if} \,\,n\geq 1000 \\

f(f(n+5)), & \text{if}\,\, n< 1000

\end{cases}

\]

Find $f(84)$.

\[ f(n)=\begin{cases}

n-3, & \text{if} \,\,n\geq 1000 \\

f(f(n+5)), & \text{if}\,\, n< 1000

\end{cases}

\]

Find $f(84)$.

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