We are given the equation:
Z(q) = 4q + ½ ---> 1
The equation for z(u + 1/2) is obtained by substituting q with u + ½ in the equation, therefore we can say that:
q = u + ½ ---> 2
Substituting this value into equation # 1:
Z = 4 (u + ½) + ½ = z (u + 1/2)
4 u + 2 + ½ = z (u + 1/2)
Since it was given that z (u + 1/2) = ½ then,
4 u + 2 + ½ = ½
4 u + 2.5 = 0.5
4 u = -2
u = -1/2 (ANSWER)
