Review question

# How many numbers $n$ satisfy $f(n)=16$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7906

## Question

The function $f$, defined for whole positive numbers, satisfies $f(1)=1$ and also the rules $f(2n)=2f(n),$ $f(2n+1)=4f(n),$ for all values of $n$. How many numbers $n$ satisfy $f(n)=16$?

1. $3$,

2. $4$,

3. $5$,

4. $6$.