If 1 + \(\frac{1}{y}\) = 2, y + \(\frac{1}{z}\) = 2, find the value of (z + \(\frac{1}{x}\) + 2)

1 2 3 4

4

Let x = 1 , y = 1 and z = 1 These values are satisfying the equations, so, (z + \(\frac{1}{x}\) + 2) =  1 + \(\frac{1}{1}\) + 2  = 4