Question 12
A function $f$ from the integers to the integers is defined as follows: $$
f(n)= \begin{cases} n+3 & \text{if \(n\) is odd},\\ \frac{n}{2} & \text{if \(n\) is even}. \end{cases}
$$ Suppose $k$ is odd and $f(f(f(k)))=27.$ What is the sum of the digits of $k?$
f(n)= \begin{cases} n+3 & \text{if \(n\) is odd},\\ \frac{n}{2} & \text{if \(n\) is even}. \end{cases}
$$ Suppose $k$ is odd and $f(f(f(k)))=27.$ What is the sum of the digits of $k?$