Mark the correct alternative in the following:
Let f : R → r be defined by f(x) = 2x + |x|. Then f(2x) + f(-x) – f(x) =
f(2x)=2(2x)+|2x|=4x+2|x|
f(-x)=2(-x)+|-x|
f(2x)+f(-x)-f(x)=4x+2|x|-2x+|-x|-(2x+|x|)
=4x+2|x|-2x+|x|-2x-|x|=2|x|
Option B is correct..