The function g(j) is defined for integers j such that if j is even, g(j) = j/2 and if j is odd, g(j) = j + 5. Given that g(g(g(g(g(j))))) = 19, how many possible values for j would satisfy this equation?  Choose the correct choice from the following answers.
A) 1	B) 5	C) 7	D) 8	E) 11
Let me define terms:   in g(j) = R   j is argument, R is result, g() is function,   in g(g(g(g(g(j))))), g1 is inner most, g5 is outermost for identification.   From definition of function g, we can deduce that:   If Result is even then two possibilities for argument = 1 Even 1 Odd   If Result is odd then one possibility for argument = 1 Even   Since final result = 19 = Odd   Possibilities:   g1:1 Even   g2: 1*(Even,Odd ) =1 Even 1 Odd   g3: 1*(Even,Odd) + 1 Even =2 Even 1 Odd   g4: 2*(Even, Odd) + 1 Even =3 Even 2 Odd   g5: 3*(Even, Odd) + 2 Even =5 Even 3 Odd = Total 8   Ans 8 it is!
<result>D</result>
The function g(j) is defined for integers j such that if j is even, g(j) = j/2 and if j is odd, g(j) = j + 5. Given that g(g(g(g(g(j))))) = 19, how many possible values for j would satisfy this equation?