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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?

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sam4040

Answer:

[tex]Possible \ values\ of\ x=264,127,122,608,299,294,284,137[/tex]

Step-by-step explanation:

When [tex]g(k)[/tex] is odd [tex]k[/tex] will be even and when it is even [tex]k[/tex] can be even or odd.

See the flow chart attached.

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