Question

The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5. Given that g(g(g(g(g(x))))) = 19, how many possible values for x would satisfy this equation?

Answer 1

`Possible \ values\ of\ x=264,127,122,608,299,294,284,137`

Explanation:

When
`g(k)` is odd
`k` will be even and when it is even
`k` can be even or odd.

See the flow chart attached.