Functions f(x)= 1 – I x – 1 I and g(x)= I 2x – a I are given. Prove that for every a E [1,2] the area bounded by the graphs of the given functions is less than 1****************/

Functions f(x)= 1 – I x – 1 I and g(x)= I 2x – a I are given. Prove that for every a E [1,2] the area bounded by the graphs of the given functions is less than 1****************/